Lecture 9: Synthetic Control Methods, Part 2

class: center, middle, inverse, title-slide

.title[
# Lecture 9: Synthetic Control Methods, Part 2
]
.author[
### James Sears* <br> AFRE 891 SS 24 <br> Michigan State University
]
.date[
### .small[<br> *Parts of these slides are adapted from <a href="https://matheusfacure.github.io/python-causality-handbook/landing-page.html">“Causal Inference for the Brave and True”</a> by Matheus Facure Alves.]
]

---

# Table of Contents

1. [Prologue](#prologue)

2. [Synthetic Difference-in-Difference](#synthdid)

3. [Partially Pooled SCM](#pool)
  
---
class: inverse, middle
name: prologue

# Prologue

---
# Prologue

.pull-left[
.center.hi-purple[Part 1]
  * Matching
  * Canonical Synthetic Control
]

.pull-right[
.center.hi-pink[Part 2]
  * Synthetic Diff-in-Diff
    * Uniform Adoption
    * Staggered Adoption
  * Partially Pooled Synthetic Control
]

---
# Prologue

Packages we'll use today:

```r
# If not installed, add in packages from GitHub not on CRAN
if (!require("augsynth")) remotes::install_github("ebenmichael/augsynth")
```

```r
if (!require("pacman")) install.packages("pacman")
pacman::p_load(augsynth, fixest, gsynth, synthdid, tidyverse)
```

As well, let's load the event study data from [Sears et al. (2023)](https://doi.org/10.1086/721705) we finished last lecture with (plus some covariates)

```r
sah <- readRDS("data/sah_covar.rds")
```

---
# Prologue

Last time we talked through the canonical .hi-medgrn[Synthetic Control Method (SCM)] for comparative case studies.

While it provides an avenue for overcoming violations of parallel trends, it is limited in several ways

1. Intended for a single treated aggregate unit ("comparative case studies")
  1. Results primarily presented visually
  1. Inference doesn't match our usual approaches

What would be *great* is if there were ways of combining the matching benefits of SCM with the identification and structure of our typical econometric approaches...

---
# Prologue

Okay so I've already spoiled this: yes, there are methods that do this - and we're going to learn about them today.

1. Synthetic Difference-in-Differences: using a synthetic control unit as the counterfactual in a difference-in-differences
1. Partially Pooled Synthetic Control: same idea but for event study settings with dynamic treatment effects

We refer to these two approaches as .hi-megrn[doubly-robust] estimators, in that you have two chances to be right:
  
  1. In the matching design, or
  2. In the regression specification

---
class: inverse, middle
name: synthdid

# Synthetic Difference-in-Differences

---
# Synthetic Difference-in-Differences

[Synthetic Difference-in-Differences](https://www.aeaweb.org/articles?id=10.1257/aer.20190159) by Arkhangelsky et al. (2021) AER offers a solution to CIA violations in a typical difference-in-differences setting.

.hi-medgrn[The gist:]

1. Re-weight and match pre-exposure trends by constructing a synthetic counterfactual
    * Reduces reliance on parallel trends
  1. Estimate a treatment effect in a standard TWFE regression
  
---
# Synthetic Difference-in-Differences

.hi-blue[More formally:]

Suppose you have .hi-green[balanced panel] with 
  * `$T$` time periods
  * `$N$` units
    * First `$N_{co}$` units are never exposed to treatment (pure controls)
    * Next `$N_{tr} = N - N_{co}$` units receive treatment after time `$T_{pre}$`
      * Can be block adoption or staggered adoption
  
--

You observe

* The time-varying outcome `$Y_{it}$`,
  * A binary treatment indicator `$W_{it}$`,
  * and (optionally) time-varying covariates `$X_{it}$`
  
i.e. same data requirements as a standard TWFE Diff-in-Diff approach

---
# Synthetic Difference-in-Differences

.hi-blue[The Concern:]  even after conditioning on observables, CIA/parallel trends doesn't hold.

.hi-medgrn[The Solution:] construct a synthetic control to use as the counterfactual in a Difference-in-Differences design.

Like with SCM, the goal is to find weights `$\hat\omega^{sdid}$` so that the pre-treatment trends in the treated units' outcome align with the synthetic control's:

`$$\underbrace{\sum\limits_{i=1}^{N_{co}} \hat\omega^{sdid} Y_{it}}_{Synthetic ~ Control}~~ \approx ~~\underbrace{\frac{1}{N_{tr}} \sum\limits_{i= N_{co}+1}^N Y_{it}}_{Treated}$$`
---
# Synthetic Difference-in-Differences

.hi-purple[Choosing Unit Weights:] ensure average outcome for treated unit(s) is roughly parallel to the synthetic counterfactual (i.e. weighted average of control units)

Choose .hi-purple[unit weights] `$(\hat\omega_0, \hat\omega)$` that yield the arg min of

`$$\underbrace{\sum\limits_{t=1}^{T_{pre}}\left(\omega_0 +  \sum\limits_{i=1}^{N_{co}} \omega_i Y_{it} - \frac{1}{N_{tr}} \sum\limits_{i= N_{co}+1}^N Y_{it} \right)^2}_{Sum~Squared~Error} + \underbrace{\zeta^2 T_{pre} ||\omega||^2_2}_{L_2~Regularization~Penalty}$$`

---
# Synthetic Difference-in-Differences

* Intercept term `$\omega_0$` allows synthetic control to match on pre-trends
    * Unit FE `$\alpha_i$` in regression step get rid of level differences
  * Penalty term helps non-zero weights be more distributed across control units
    * If `$\zeta=0$`, weights are identical to Abadie, Diamond, and Hainmueller (2010) SCM weights for a single treated unit 
    * `$\zeta$` is *complicated*, see the paper if you want more details
    * `$L_2$`/Euclidean norm as in ridge regression (we'll chat more about this in ML lecture)

---
# Synthetic Difference-in-Differences

.hi-medgrn[Choosing Time Weights:] ensure pre and post-treatment periods are balanced for control units
  
Choose .hi-medgrn[time weights] `$(\hat\lambda_0, \hat\lambda)$` that yield arg min of

`$$\sum\limits_{i=1}^{N_{co}}\left(\underbrace{\lambda_0 +  \sum\limits_{t=1}^{T_{pre}} \hat\lambda_t Y_{it}}_{Weighted~Average\\~in~Pre-Period} ~~-~~ \underbrace{\frac{1}{T_{post}} \sum\limits_{t= T_{pre}+1}^T Y_{it}}_{Average~in\\Post-Period} \right)^2$$`
  * No regularization in time weights
    * Allows for correlation over time for same unit, but not across units (beyond the systematic component in a latent factor model)
  
---
# Synthetic Difference-in-Differences

Once unit and time weights (and `$\zeta$`) are obtained, estimate `$\hat\tau^{sdid}$` as arg min of

`$$\sum\limits_{i=1}^N\sum\limits_{t=1}^T  (Y_{it} - \mu - \alpha_i - \beta_t - W_{it} \tau)^2\hat\omega_i^{sdid}\hat\lambda_t^{sdid}$$`
--
<br>

Note that without weights, this is just the TWFE Diff-in-Diff solution:

`$$\sum\limits_{i=1}^N\sum\limits_{t=1}^T  (Y_{it} - \mu - \alpha_i - \beta_t - W_{it} \tau)^2$$`

---
# Synthetic Diff-in-Diff Application

Now that we know how it's working, let's try it out by looking at the impact of California's Proposition 99, which introduced a 25 cent tax per pack of cigarettes.

```r
data(california_prop99)
```

---
# Synthetic Diff-in-Diff Application

We *could* evaluate the impact of Prop 99 on cigarette sales per capita using a typical TWFE Diff-in-Diff:

```r
did <- feols(PacksPerCapita ~ treated | State + Year, data = california_prop99, cluster = ~ State)
summary(did)
```

```
## OLS estimation, Dep. Var.: PacksPerCapita
## Observations: 1,209
## Fixed-effects: State: 39,  Year: 31
## Standard-errors: Clustered (State) 
##         Estimate Std. Error  t value   Pr(>|t|)    
## treated -27.3491    2.80238 -9.75925 6.6913e-12 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## RMSE: 11.5     Adj. R2: 0.870229
##              Within R2: 0.032671
```

---
# Synthetic Diff-in-Diff Application

Looking at parallel trends:
.font70[

```r
mutate(california_prop99, state_ca = ifelse(State == "California", "California", "Pure Controls")) %>%
group_by(state_ca, Year) %>%
  summarise(PacksPerCapita = mean(PacksPerCapita)) %>%
  filter(Year < 1989) %>%
  ggplot() +
  geom_line(aes(x = Year, y = PacksPerCapita, linetype = state_ca)) +
  theme_minimal()
```

<img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-7-1.png" width="60%" style="display: block; margin: auto;" />
]

---
# Synthetic Diff-in-Diff Application

Let's use the .hi-slate[synthdid] package to estimate a diff-in-diff using a synthetic California as the counterfactual.

First, we'll need to do some se the `panel.matrices()` function to set up the data

* Balanced panel (have)
  * Simultaneous adoption (have mechanically)

```r
synth_ca_prep <- panel.matrices(
  panel = as.data.frame(california_prop99), # the dataframe
  unit = "State", # unit column (name or column #)
  time = 2, # time column (name or column #)
  outcome = 3, # outcome var (name or column #)
  treatment = "treated", # treatment var (name or column #)
  treated.last = TRUE # sort treated units to be at bottom
)
```

---
# Synthetic Diff-in-Diff Application

Now compute the synthetic Diff-in-Diff estimate with `synthdid_estimate()`:

```r
sdid <- synthdid_estimate(Y = synth_ca_prep$Y, # outcome var
                          N0 = synth_ca_prep$N0, # number of control units (N_co)
                          T0 = synth_ca_prep$T0 # number of pre-treatment periods (T_pre)
                          )
sdid
```

```
## synthdid: -15.604 +- NA. Effective N0/N0 = 16.4/38~0.4. Effective T0/T0 = 2.8/19~0.1. N1,T1 = 1,12.
```
Which yields a much smaller treatment effect estimate than the Diff-in-Diff.

---
# Synthetic Diff-in-Diff Application

Looking at control unit weights `$\omega$`:

```r
synthdid_controls(sdid)
```

```
##                estimate 1
## Nevada         0.12448923
## New Hampshire  0.10504758
## Connecticut    0.07828729
## Delaware       0.07036812
## Colorado       0.05751279
## Illinois       0.05338782
## Nebraska       0.04785319
## Montana        0.04513521
## Utah           0.04151766
## New Mexico     0.04056827
## Minnesota      0.03949464
## Wisconsin      0.03666708
## West Virginia  0.03356911
## North Carolina 0.03280518
## Idaho          0.03146821
## Ohio           0.03146077
## Maine          0.02821102
## Iowa           0.02593863
```

---
# Synthetic Diff-in-Diff Application

Plotting the  control unit weights `$\omega$`:

```r
synthdid_units_plot(sdid)
```

---
# Synthetic Diff-in-Diff Application

And the time weights `$\lambda$`

```r
summary(sdid)$periods
```

```
##      estimate 1
## 1988      0.427
## 1986      0.366
## 1987      0.206
```
---
# Synthetic Diff-in-Diff Application

Note that with only one treated unit we can only use the (untrustworthy) `placebo` method to get standard errors, by calling `vcov()` on our `synthdid_estimate` object:

```r
se <- sqrt(vcov(sdid, method='placebo'))
sprintf('95%% CI (%1.2f, %1.2f)', sdid - 1.96 * se, sdid + 1.96 * se)
```

```
## [1] "95% CI (-33.85, 2.64)"
```

---
# Synthetic Diff-in-Diff Application

We can look at pre-treatment parallel trends by overlaying the two series:

```r
synthdid_plot(sdid, overlay = 1)
```

---
# Synthetic Diff-in-Diff Application

The built-in `synthdid` plot (a `ggplot` object) displays a lot of information by default.

* Point and line segments for simple 2x2 Diff-in-Diff comparison
  * Time period weights (bottom red line)
  * Customizable further with `theme()` and [other adjustments](https://synth-inference.github.io/synthdid/articles/more-plotting.html)

---
# Synthetic Diff-in-Diff Application

The built-in `synthdid` plot (a `ggplot` object) displays a lot of information by default.

```r
synthdid_plot(sdid)
```

---
# Synthetic Diff-in-Diff Application

Comparing to canonical SCM and Diff-in-Diff reveals the differences well:

```r
est_sc <- sc_estimate(Y = synth_ca_prep$Y, N0 = synth_ca_prep$N0, T0 = synth_ca_prep$T0)
est_did <- did_estimate(Y = synth_ca_prep$Y, N0 = synth_ca_prep$N0, T0 = synth_ca_prep$T0)
estimates <- list(est_did, est_sc, sdid)
names(estimates) = c('Diff-in-Diff', 'Synthetic Control', 'Synthetic Diff-in-Diff')
print(unlist(estimates))
```

```
##           Diff-in-Diff      Synthetic Control Synthetic Diff-in-Diff 
##              -27.34911              -19.61966              -15.60383
```

---
# Synthetic Diff-in-Diff Application

Comparing to canonical SCM and Diff-in-Diff reveals the differences well:

```r
synthdid_plot(estimates, se.method='placebo')
```

---
# Staggered Adoption

The methods in .hi-slate[synthdid] easily extend to

* Controlling for covariates in the second step regression
  * Cases of more than one unit .hi-belu[adopting simultaneously].

One current limitation is lack of direct support for .hi-medgrn[staggered adoption]

Until they add native support, you can use the .hi-slate[Ssynthdid] package

```r
# install.remotes("remotes")
remotes::install_github("tjhon/ssynthdid")
```

---
class: inverse, middle
name: pool

# Partially Pooled Synthetic Control

---
# Partially Pooled Synthetic Control

An alternate but related estimator is the .hi-medgrn[partially pooled synthetic control method (PPSCM)] of [Ben-Michael, Feller, and Rothstein (2021)](https://rss.onlinelibrary.wiley.com/doi/10.1111/rssb.12448)

.hi-blue[The gist:]

* Extend canonical SCM to the many-treated unit and staggered adoption case
  * Incorporate unit-level intercepts and balancing on covariates
    * Equivalent to balancing on residualized unit-level outcomes
  * Estimate dynamic treatment effects 
  * Obtain standard errors through bootstrapping/jackknifing

---
# Partially Pooled Synthetic Control

.hi-blue[More formally:]

Suppose you have a panel with 
  * `$T$` time periods
  * `$N$` units
    * Some units `$j=1...,J$` receive treatment, potentially at different times `$T_i$`
    * Non-zero number of pure controls `$N_0$` with `$T_i = \infty$`
      * Can be block adoption or staggered adoption
  
--

You observe

* The time-varying outcome `$Y_{it}$`,
  * A binary treatment indicator `$W_{it}$`,
  * and (optionally) time-varying covariates `$X_{it}$`
  
---
# Partially Pooled Synthetic Control

.hi-blue[Assumptions:]

* Stable treatment and no interference across units (SUTVA)
  * Prior to treatment, a unit's potential outcomes are equal to its never-treated potential outcomes
  * .hi-green[No Anticipation:] 
  
  `$$Y_{it}(s) = Y_{it}(\infty) \text{ for } t<s, \text{ with treatment time } s$$`

---
# Partially Pooled Synthetic Control

.hi-blue[Assumptions:]

* All treated units are observed for at least several pre-periods and several post-periods
    * Needed to ensure sufficient identification in unbalanced event time
--
  * Can express the data generating process as following
    1. Following a time-varying `$AR(L)$` process: `$Y_{it}(\infty) = \sum\limits_{\ell = 1}^L \rho_{t\ell}Y_{it-\ell}(\infty) + \epsilon_{it}$`, or
      * Rules out correlation between treatment timing and noise terms for any period
    1. Composed of time-varying latent factors and time-invariant unit loadings: `$Y_{it}(\infty) = \phi_i \cdot \mu_t + \epsilon_{it}$`
      * Rules out correlation between treatment timing and noise terms *after* treatment
    1. Noise term `$\epsilon_{it}$` are sub-Gaussian random variables
      * Restricts tails to ensure finite sample error bounds

---
# Partially Pooled Synthetic Control

If we want to extend canonical SCM to the .hi-blue[many-treated] case, we could take one of two approaches.

.hi-medgrn[1\. Separate SCM:] estimate a separate SCM for each treated unit
  * i.e. minimize pre-treatment imbalance for each treated unit separately
  * Can lead to poor mean fit, biasing the ATE
  
--

.hi-purple[2\. Pooled SCM:] estimate one SCM for average of treated units
  * i.e. minimize the average pre-treatment imbalance across all treated units
  * Can achieve strong average fit but obtain poor unit-specific treatment effects
  
--

.hi-green[The Solution:] "pool" the two estimators, improving on each approach in isolation

---
# Partially Pooled Synthetic Control

Choose SCM weights to minimize the weighted average of the pooled and unit-specific pre-treatment balance:

`$$\min\limits_{\Gamma \in \Delta^{scm}}~~ \nu(\underbrace{\tilde{q}^{pool}(\Gamma))^2}_{\text{Normalized}\\\text{pooled}\\\text{imbalance}} + (1-\nu)(\underbrace{\tilde{q}^{sep}(\Gamma))^2}_{\text{Normalized}\\\text{separate}\\\text{imbalance}} + \underbrace{\lambda||\Gamma||^2_F}_{\text{penalize sum of}\\\text{squared weights}}$$`

* `$\hat q^{sep},~ \hat q^{pool}$` the (normalized) root mean square of separate and pooled pre-treatment fit
  * `$\lambda||\Gamma||^2_F$` a penalty term (as in SCM)
  * `$\nu$` the hyperparameter determining the degree of "partial pooling"
    * `$\nu = 0 \Rightarrow \text{Separate SCM}$`
    * `$\nu = 1 \Rightarrow \text{Pooled SCM}$`
    * `$0 < \nu < 1 \Rightarrow \text{Partially-Pooled SCM}$`
    
---
# Partially Pooled Synthetic Control

So, what `$\nu$` should we use?

Turns out the relationship between pooled and separate imbalance is .hi-green[highly convex], with even slight interior `$\nu$` offering large improvements.

.center[
<img src = "images/imbal.png" width = "480" \img>
]

---
# Partially Pooled Synthetic Control

So, what `$\nu$` should we use?

In my experience, overall ATEs are highly similar across the space of `$\nu$`

.center[
<img src = "images/fullnu.png" width = "550" \img>
]

---
# PPSCM Application

So how does it actually work? Let's use the .hi-slate[augsynth] package and use PPSCM to revisit mobility responses to stay-at-home mandates.

Recall the setup:

* States adopted stay-at-home mandates on different days (staggered adoption)
  * Observe many pre-period dates (Feb 24 to Mar 19)
  * Observe many post-adoption dates (# varies by state, from 22 to 42)
  
---
# PPSCM Application

One advantage to PPSCM is less data prep - we can jump directly to estimation with `augsynth()`

.center[
`augsynth(y ~ treat | weighting covars | approx match covars | exact match covars,
          unit,
          time,
          data,
          n_leads,
          n_lags)`
]
  .font90[
  * `formula` requires just `$Y_{it}$` and `$W_{it}$`
    * Optional weighting covariates, approximate/exact matching covariates
  * `unit/time` the names of unit and time variables
    * can be text, numeric, or dates
    * Don't need manual event time
  * `data` the dataframe
  * `n_leads/n_lags` the number of lead/lag event times to estimate
    * `n_lead` default: # post-treatment dates for last-treated unit (same as our binned event time before)
    * `n_lags` default: balance all periods]

---
# PPSCM Application

Estimating with default settings and storing the summary object
  * Most everything is hanging out in the `summary()` object

```r
sah_ppscm <- multisynth(cadt ~ post_treat, state, date,  data = sah, fixedeff = TRUE) 
sum_ppscm <- summary(sah_ppscm)
```

---
# PPSCM Application

Looking at the output shows
  * Average ATT and standard error (across all time periods + treated units)
  * Imbalances and improvement over pooled/separate SCM
.font90[

```r
sum_ppscm
```

```
## 
## Call:
## multisynth(form = cadt ~ post_treat, unit = state, time = date, 
##     data = sah, fixedeff = TRUE)
## 
## Average ATT Estimate (Std. Error): -6.585  (1.370)
## 
## Global L2 Imbalance: 1.136
## Scaled Global L2 Imbalance: 0.347
## Percent improvement from uniform global weights: 65.3
## 
## Individual L2 Imbalance: 5.543
## Scaled Individual L2 Imbalance: 0.701
## Percent improvement from uniform individual weights: 29.9	
## 
##  Time Since Treatment   Level  Estimate Std.Error lower_bound upper_bound
##                     0 Average -8.050414  1.915950  -11.803830  -4.5738291
##                     1 Average -8.808877  1.781759  -12.281656  -5.3351130
##                     2 Average -7.992208  1.550205  -11.071789  -4.9927348
##                     3 Average -7.424093  1.728269  -10.761129  -3.9748238
##                     4 Average -7.849963  1.941695  -11.548532  -4.3476287
##                     5 Average -7.225759  1.979080  -11.184829  -3.6738126
##                     6 Average -7.312214  1.884561  -11.192429  -3.9488931
##                     7 Average -8.393914  1.903430  -12.312245  -4.8571976
##                     8 Average -7.742748  1.685392  -11.378813  -4.5996062
##                     9 Average -5.803652  1.357979   -8.412066  -3.1729930
##                    10 Average -5.605129  1.389068   -8.406893  -2.8608149
##                    11 Average -6.061360  1.340292   -8.600420  -3.3951711
##                    12 Average -5.176553  1.569994   -8.272598  -2.0941980
##                    13 Average -5.563721  1.555814   -8.789126  -2.6265676
##                    14 Average -6.843104  1.509631   -9.984939  -3.9552330
##                    15 Average -7.051000  1.364663   -9.631444  -4.3977075
##                    16 Average -6.619539  1.376848   -9.157261  -3.7716313
##                    17 Average -5.975506  1.361058   -8.648732  -3.3081219
##                    18 Average -5.482800  1.226083   -7.749624  -3.0963061
##                    19 Average -3.250537  1.434039   -6.165372  -0.5433957
##                    20 Average -4.699063  1.389517   -7.335542  -2.0038180
##                    21 Average -5.931295  1.314372   -8.430509  -3.3027724
```
]

---
# PPSCM Application

The coefficient table contains two main types of data

1. "Average" period-specific ATT across all treated units (top rows, "Average" Level)
  1. Unit-specific ATTs for each period

```r
att_ppscm <- sum_ppscm$att
att_ppscm
```

```
##      Time   Level      Estimate   Std.Error  lower_bound   upper_bound
## 1     -44 Average  -1.231575053  7.72470104 -13.06162669 11.7783130939
## 2     -43 Average   1.389609406  5.77295801  -8.60717098 10.0551645933
## 3     -42 Average   0.429718524  7.14345451 -12.88063103 13.2842725222
## 4     -41 Average   2.236318929  5.10711672  -7.55223812  9.5336381234
## 5     -40 Average   1.676580849  5.39559923  -8.97603873  8.4513154994
## 6     -39 Average   1.405283286  4.25605892  -7.09510485  6.6875692641
## 7     -38 Average   2.138179308  3.11693390  -4.30852759  6.4573272730
## 8     -37 Average   1.286090944  2.73683101  -4.66904792  5.6139816428
## 9     -36 Average   0.707601619  2.19889857  -4.10970124  4.4310364372
## 10    -35 Average   0.268413813  1.84489189  -3.87495082  3.1196422927
## 11    -34 Average   0.673977219  1.53417183  -2.63379055  3.2845991284
## 12    -33 Average   1.127508250  1.32656466  -1.54087092  3.6075590179
## 13    -32 Average   0.757983285  1.30556497  -1.72401395  3.2941292702
## 14    -31 Average   0.349383056  1.03160803  -1.61295706  2.3741565300
## 15    -30 Average   0.373591407  0.99948416  -1.58490520  2.1619951610
## 16    -29 Average   0.487207446  1.20214016  -1.96634825  2.8389458793
## 17    -28 Average   0.006849478  1.32982981  -2.48751534  2.7509417190
## 18    -27 Average   0.549192921  1.31034303  -1.82814347  3.2547947151
## 19    -26 Average   0.568075574  1.23055989  -1.76697491  2.9456942062
## 20    -25 Average   0.618649849  1.33086304  -1.83293492  3.2642828615
## 21    -24 Average   0.647668829  1.31079074  -1.75751518  3.1746102740
## 22    -23 Average   1.275966338  1.33917493  -1.10127707  4.0292801812
## 23    -22 Average   0.989274401  1.46549649  -1.68713086  3.8774223501
## 24    -21 Average   1.270848482  1.58171908  -1.76580216  4.3416099374
## 25    -20 Average   0.983950346  1.60334340  -1.91994222  4.3213953248
## 26    -19 Average   1.670263452  1.79563646  -1.50599431  5.3934886598
## 27    -18 Average   1.484996949  1.99252930  -2.07954524  5.5733653985
## 28    -17 Average  -0.003374371  1.59542596  -2.89127733  3.4911901723
## 29    -16 Average   1.015617589  1.05255597  -0.90831712  3.1238496460
## 30    -15 Average   1.510888701  1.05040172  -0.56075306  3.4759790079
## 31    -14 Average   0.776070440  0.86142699  -0.75222266  2.4019263194
## 32    -13 Average  -0.490021419  1.10844148  -2.65882628  1.6019255178
## 33    -12 Average   0.134444123  1.31969936  -2.50537519  2.5225417160
## 34    -11 Average   0.173497210  1.32074297  -2.62658342  2.5142338896
## 35    -10 Average  -0.036399682  1.51792785  -3.10284919  2.7432053219
## 36     -9 Average  -0.573859315  1.43735441  -3.38468892  2.2076841337
## 37     -8 Average  -0.428679024  1.86670425  -4.18688540  2.9301395770
## 38     -7 Average  -1.955094626  1.86760513  -5.63028172  1.4862138032
## 39     -6 Average  -1.788805000  1.91539336  -5.65510726  1.6666650000
## 40     -5 Average  -1.688960226  1.95860092  -5.65703009  1.8784885126
## 41     -4 Average  -2.171851589  1.97063403  -6.31074467  1.3304937436
## 42     -3 Average  -2.801002580  2.13588111  -7.19230879  1.0190625545
## 43     -2 Average  -1.998992048  2.22153273  -6.65455397  1.7779625909
## 44     -1 Average  -3.558136415  2.05864679  -7.93533553  0.0005317256
## 45      0 Average  -8.050414005  1.91594962 -11.80382998 -4.5738291164
## 46      1 Average  -8.808877205  1.78175897 -12.28165646 -5.3351129858
## 47      2 Average  -7.992208415  1.55020453 -11.07178895 -4.9927347781
## 48      3 Average  -7.424092814  1.72826853 -10.76112948 -3.9748238010
## 49      4 Average  -7.849962623  1.94169453 -11.54853220 -4.3476286681
## 50      5 Average  -7.225758851  1.97907960 -11.18482945 -3.6738126412
## 51      6 Average  -7.312214135  1.88456060 -11.19242875 -3.9488930724
## 52      7 Average  -8.393914481  1.90342992 -12.31224541 -4.8571976226
## 53      8 Average  -7.742747654  1.68539193 -11.37881266 -4.5996062009
## 54      9 Average  -5.803651731  1.35797927  -8.41206631 -3.1729929656
## 55     10 Average  -5.605129462  1.38906781  -8.40689290 -2.8608149229
## 56     11 Average  -6.061360070  1.34029246  -8.60041964 -3.3951711375
## 57     12 Average  -5.176553206  1.56999393  -8.27259848 -2.0941980080
## 58     13 Average  -5.563720809  1.55581430  -8.78912554 -2.6265675720
## 59     14 Average  -6.843103572  1.50963100  -9.98493900 -3.9552330163
## 60     15 Average  -7.050999884  1.36466281  -9.63144378 -4.3977075078
## 61     16 Average  -6.619539148  1.37684806  -9.15726101 -3.7716313146
## 62     17 Average  -5.975505837  1.36105771  -8.64873153 -3.3081218518
## 63     18 Average  -5.482799787  1.22608314  -7.74962439 -3.0963061049
## 64     19 Average  -3.250536591  1.43403866  -6.16537181 -0.5433956739
## 65     20 Average  -4.699063197  1.38951718  -7.33554246 -2.0038180181
## 66     21 Average  -5.931295352  1.31437235  -8.43050890 -3.3027723992
## 67     NA Average  -6.584702219  1.36968078  -9.24134073 -3.9319358899
## 68    -44      AK            NA         NaN           NA            NA
## 69    -43      AK            NA         NaN           NA            NA
## 70    -42      AK            NA         NaN           NA            NA
## 71    -41      AK            NA         NaN           NA            NA
## 72    -40      AK            NA         NaN           NA            NA
## 73    -39      AK            NA         NaN           NA            NA
## 74    -38      AK            NA         NaN           NA            NA
## 75    -37      AK            NA         NaN           NA            NA
## 76    -36      AK            NA         NaN           NA            NA
## 77    -35      AK            NA         NaN           NA            NA
## 78    -34      AK   7.110745047  7.22309021  -5.74778943 13.6885293830
## 79    -33      AK   0.644354615  7.29783635 -11.44459590 12.1160182674
## 80    -32      AK   5.637016392  4.23669716  -3.51202533 10.5583966078
## 81    -31      AK   6.641768453  5.90674893  -4.14500659 12.4403450282
## 82    -30      AK   4.358989940  4.78403598  -4.28437185  8.8264901244
## 83    -29      AK  -0.801474945  1.05514780  -2.03133952  1.1961922540
## 84    -28      AK   4.965814695  4.39174919  -3.09748610  9.3012044705
## 85    -27      AK   7.378338757  6.54688244  -4.60372275 13.8199750506
## 86    -26      AK   4.319818069  6.43671934  -7.49748091 11.9987790998
## 87    -25      AK  -6.698832699  5.58310956 -12.54722817  4.1735646440
## 88    -24      AK  -1.062500111  1.34584319  -2.59200547  1.4848666434
## 89    -23      AK   3.270475790  5.80866233  -7.33772413 10.7455969125
## 90    -22      AK  -1.498856794  2.68507447  -5.08155183  3.5197247479
## 91    -21      AK   1.151713780  7.44120774 -11.43545010 12.6355495822
## 92    -20      AK   6.730796736  7.66269216  -7.18104543 14.1946144059
## 93    -19      AK   2.876472591  2.83953043  -2.24086825  5.4375527561
## 94    -18      AK  11.825238904 11.51488800  -9.05551400 22.1492307960
## 95    -17      AK  -2.667909546  2.78178811  -5.23163929  2.3129095192
## 96    -16      AK   8.069173928 10.62083279 -11.40993004 19.8181009140
## 97    -15      AK  14.781827870 24.01444857 -29.22471846 44.6275546922
## 98    -14      AK  -3.216079455 10.87500804 -19.46227846 16.1110853713
## 99    -13      AK   3.459337931  2.78029551  -2.15526664  6.4795018293
## 100   -12      AK   0.108367627  0.83404633  -1.30032518  1.4132475233
## 101   -11      AK  10.161134991  8.87175532  -6.58986436 19.0322823818
## 102   -10      AK  -8.341488083  9.60812988 -17.81732822  9.1253999191
## 103    -9      AK  -3.136775945  6.20208686 -11.39683670  8.1282810862
## 104    -8      AK  -6.291572381  4.57973252 -11.78440978  3.9198350614
## 105    -7      AK  -9.233689126  6.46980283 -17.29513215  5.7528585235
## 106    -6      AK  -8.302631553 17.07444509 -31.29162564 22.6401897115
## 107    -5      AK -12.627620176 19.57331988 -36.44250186 23.2843774477
## 108    -4      AK -12.231757454 21.50219204 -39.80058378 27.0549527420
## 109    -3      AK  -9.413756166 19.03920718 -34.93250643 25.1232663022
## 110    -2      AK  -9.069651494 11.50567086 -21.45220628 12.0015251243
## 111    -1      AK  -8.896790187  6.66918535 -16.66410486  5.5429612523
## 112     0      AK -15.366447892 15.69609528 -29.58115740 12.6121299544
## 113     1      AK  -7.313421419 14.72916829 -27.03236066 19.4116931975
## 114     2      AK  -8.633568441 17.47209931 -32.05586988 23.0595949057
## 115     3      AK -13.218695711 20.33995078 -37.87940977 24.1053773068
## 116     4      AK -14.496949578 16.01276927 -29.56658662 14.4605967791
## 117     5      AK  -7.529635026  6.13759557 -14.10336033  4.6911824842
## 118     6      AK  -4.135134291  4.87631473  -9.05931123  4.7504562613
## 119     7      AK  -6.789355842  8.18313994 -15.22393498  8.1493511241
## 120     8      AK  -8.727149205 16.49899845 -30.40705578 21.3132672655
## 121     9      AK -12.637923317 18.29451663 -34.12527063 20.9564094586
## 122    10      AK -11.250378582 17.53522253 -32.64141667 20.9183938359
## 123    11      AK  -8.706526203 15.00762302 -27.80889841 18.7365988819
## 124    12      AK  -8.288961669  9.44449653 -17.49667434  8.8594811959
## 125    13      AK   0.827864930  7.48421469 -11.66076506 12.5234106162
## 126    14      AK -15.831893420 12.85590462 -29.65387987  9.8637274064
## 127    15      AK  -3.662119422  6.81208743 -12.56718964  8.7512200248
## 128    16      AK  -8.130065798 13.13355673 -24.41294505 15.9413235208
## 129    17      AK  -6.399480180 15.25622031 -27.66159273 20.9932606625
## 130    18      AK  -3.120568371  9.17331814 -16.37266042 13.1209928165
## 131    19      AK  -3.268883603  4.85961255  -9.05941116  5.6531987231
## 132    20      AK   1.038501939  3.45703056  -5.03189886  6.1140324488
## 133    21      AK  -9.578254730  7.29500128 -17.94052089  5.9675309967
## 134    NA      AK  -7.964502083 10.10452476 -18.83982926 10.5407274966
## 135   -44      AL            NA         NaN           NA            NA
## 136   -43      AL            NA         NaN           NA            NA
## 137   -42      AL            NA         NaN           NA            NA
## 138   -41      AL  -0.248974554  7.01523811 -11.44929937 11.1898686031
## 139   -40      AL   3.256968189  4.99705901  -6.06340097  9.4614403132
## 140   -39      AL   1.837297046  8.95279729 -13.63845289 15.5553308791
## 141   -38      AL   0.185762536  6.68185431 -10.68073020 10.8745427367
## 142   -37      AL  -1.954020023  8.10167086 -14.19306673 12.1569580262
## 143   -36      AL  -1.511006312  6.03395193 -10.59823153  9.0237477455
## 144   -35      AL  -1.748886409  3.37948329  -6.27305910  4.4507003796
## 145   -34      AL  -3.918137053  6.57916384 -12.32038977  8.2376468340
## 146   -33      AL  -3.175766051  3.48698420  -6.50290131  3.1937162543
## 147   -32      AL  -6.189586877  7.43716973 -13.97991516  7.5302941186
## 148   -31      AL  -3.859106349  2.72025002  -7.02760887  2.4093562877
## 149   -30      AL  -1.146278407  1.64744958  -3.12669009  1.9307628283
## 150   -29      AL   1.747289717  3.95273571  -5.43099890  7.2516970029
## 151   -28      AL   2.697259570  2.25463996  -1.68397775  4.9118334900
## 152   -27      AL   4.372887242  7.22110954  -8.97783918 13.5344392262
## 153   -26      AL  -0.033722078  3.35329976  -5.41584627  5.3806620437
## 154   -25      AL  -2.200526899  2.70436131  -5.13283102  2.8369910007
## 155   -24      AL   3.199312729 12.15574236 -18.09238469 21.4261057624
## 156   -23      AL   1.200717218  8.11190560 -12.55415711 13.8053147679
## 157   -22      AL   8.943746535 14.67806949 -18.20010275 27.5195860122
## 158   -21      AL  -1.945275160  6.20379564 -11.11689934  9.0873668544
## 159   -20      AL  -0.863069745  8.39765219 -14.08336492 13.1829114093
## 160   -19      AL  -2.560744361  3.77916558  -7.16648581  4.4948275362
## 161   -18      AL  -1.108850771  5.42049808  -9.41607992  8.2591982018
## 162   -17      AL   4.476269435 12.35556087 -17.64970829 22.3140300678
## 163   -16      AL  -3.810709137  3.20814463  -6.93947456  2.3791358087
## 164   -15      AL  -2.318870658  4.99668405  -9.20127811  6.7849843318
## 165   -14      AL  -7.938052782  8.65433242 -16.12491803  7.8533672617
## 166   -13      AL  -1.840306995  1.97420336  -3.67012113  1.7524990576
## 167   -12      AL  -3.884377502  3.99742663  -7.47761361  3.3313958374
## 168   -11      AL  -0.404077810  1.44913956  -2.57305213  2.1514724319
## 169   -10      AL   3.758188415  2.65424782  -2.34634829  6.8438329709
## 170    -9      AL   4.112799723  3.54553769  -2.77626364  7.4895949896
## 171    -8      AL   1.330957405  0.98903249  -0.83095878  2.4237344476
## 172    -7      AL  -3.929590778  6.74632873 -12.61785695  8.5231767338
## 173    -6      AL   5.964615371  5.04265407  -3.76034905 10.8618360710
## 174    -5      AL  -2.888165853  5.60589396 -10.40252860  7.3930264208
## 175    -4      AL   0.012801686  0.04204488  -0.06157169  0.0749120430
## 176    -3      AL   5.086914143  6.58590794  -7.11200127 12.4126253247
## 177    -2      AL   5.540616625  3.91422974  -3.45917121 10.0897157200
## 178    -1      AL   1.753698979  5.13611541  -7.43771040  9.2673684006
## 179     0      AL  -6.787769294  8.27122759 -15.55905663  8.4861204326
## 180     1      AL  -0.282952920  1.75768993  -3.00431579  2.7094758292
## 181     2      AL  -3.750072963  4.74126108  -8.93121149  5.0235925283
## 182     3      AL  -7.343486854  7.35608695 -13.88268956  5.8488199558
## 183     4      AL  -0.296270778  1.53217614  -2.64620637  2.3374892090
## 184     5      AL  -4.764727354  5.47292099 -10.25484819  5.2899452136
## 185     6      AL   1.428777744  2.67926163  -3.52122286  5.0118864231
## 186     7      AL -14.530861687 11.40843570 -26.46136087  9.0720363828
## 187     8      AL   3.880997370  4.50263472  -4.39973834  8.4437854042
## 188     9      AL   5.332953234  4.47844906  -3.32951857  9.7115517764
## 189    10      AL  -1.498293375  5.94504080 -10.47648704  8.9132958480
## 190    11      AL   0.808801308  9.58639136 -15.10542197 15.9482021460
## 191    12      AL   0.862017533  1.21050132  -1.38337330  2.2816048696
## 192    13      AL  -0.108556199  2.23147226  -3.66128096  3.5481648334
## 193    14      AL -15.946751546 15.80770949 -29.86901421 12.3225645308
## 194    15      AL   3.949754521  7.32725278  -9.52306658 13.6387579718
## 195    16      AL   5.321571765  4.30307078  -3.32241257  9.6908240968
## 196    17      AL   9.341280128  6.79588728  -5.83203060 17.0108951679
## 197    18      AL -10.212065278  7.74072654 -18.59663541  6.3756881047
## 198    19      AL   3.234090861  3.11266856  -2.35128916  5.9906187941
## 199    20      AL  -3.056866537  2.81885502  -5.72565159  2.0744556621
## 200    21      AL  -6.769840136  4.77380259 -12.32818732  4.2266097180
## 201    NA      AL  -1.872194112  1.45351947  -3.40935150  1.1688661079
## 202   -44      AZ            NA         NaN           NA            NA
## 203   -43      AZ            NA         NaN           NA            NA
## 204   -42      AZ            NA         NaN           NA            NA
## 205   -41      AZ            NA         NaN           NA            NA
## 206   -40      AZ            NA         NaN           NA            NA
## 207   -39      AZ            NA         NaN           NA            NA
## 208   -38      AZ            NA         NaN           NA            NA
## 209   -37      AZ   1.580289911  1.46938963  -1.71713008  3.6070846457
## 210   -36      AZ  -1.665346950  3.93018132  -7.33126320  5.7603475389
## 211   -35      AZ  -2.072208843  5.50409751  -9.90118631  8.3341852455
## 212   -34      AZ  -3.496116764  5.28818066  -9.60762370  6.3495627192
## 213   -33      AZ  -3.243322057  4.24940697  -8.65763276  4.7720806928
## 214   -32      AZ  -2.245207495  2.64336776  -6.20983692  3.5200419970
## 215   -31      AZ  -4.720502022  5.25780108  -9.65382588  4.8705465423
## 216   -30      AZ  -2.374448704  3.42079277  -6.12672625  4.0209369277
## 217   -29      AZ  -1.803157998  1.55635623  -3.47116388  1.2364673223
## 218   -28      AZ  -1.655813412  1.47419324  -3.75319945  1.7695088981
## 219   -27      AZ   0.800889598  2.73688042  -4.28899279  5.0017797016
## 220   -26      AZ   4.383333874  6.68287017  -8.07513119 12.3874133527
## 221   -25      AZ   6.294178089  8.92491662 -10.31721434 16.5493088928
## 222   -24      AZ   2.044583906  6.36745506  -9.15672042 11.6061651763
## 223   -23      AZ   8.543359237 10.00248244  -9.86277396 18.3909038898
## 224   -22      AZ   4.761118225  5.62497303  -5.58707275 10.2333631654
## 225   -21      AZ  -0.737629863  0.64016172  -1.34325666  0.4165667307
## 226   -20      AZ  -1.982357776  1.75746448  -3.97381994  1.3915029442
## 227   -19      AZ   5.253344042  9.21143749 -12.05589383 15.8112575205
## 228   -18      AZ  11.238504411 19.28115584 -24.86347361 35.1047188355
## 229   -17      AZ  -1.236660619  9.58635560 -17.60535492 16.0915019078
## 230   -16      AZ   4.683425141  6.33828702  -6.84221918 12.1412083724
## 231   -15      AZ   4.491600555  5.32363390  -5.18065955 10.0722770937
## 232   -14      AZ   0.575011150  7.52017216 -12.84306791 13.3517385507
## 233   -13      AZ   1.429240988  3.21926735  -4.93464916  6.5001183422
## 234   -12      AZ   2.784073809  2.79706173  -3.70345414  6.9415315932
## 235   -11      AZ   0.803157691  2.77624668  -4.53469953  5.5804313043
## 236   -10      AZ  -8.196892397  6.31518264 -15.70690582  5.8868900293
## 237    -9      AZ  -2.013326347  8.31582822 -14.55393623 12.4755489845
## 238    -8      AZ  -1.556443466  6.85000446 -11.86711658 10.4327863297
## 239    -7      AZ  -4.273374249 10.60437663 -19.45314012 14.8318671754
## 240    -6      AZ  -3.897557320 10.94648218 -19.50865107 15.9311390282
## 241    -5      AZ  -2.462846772  4.95822093  -9.00664779  6.9526213064
## 242    -4      AZ   0.163143205  2.84714673  -4.56086536  5.3199341619
## 243    -3      AZ  -8.058121457  9.04490485 -16.64236038  8.4529197611
## 244    -2      AZ  -1.173212088  7.68126337 -13.88903855 12.8342129913
## 245    -1      AZ  -0.964707231  8.01007924 -13.85192298 13.0473523522
## 246     0      AZ  -7.122778793 11.89249867 -22.19611292 14.7740960889
## 247     1      AZ  -4.433084485  4.65055374  -9.48514854  4.1742399661
## 248     2      AZ  -2.152135157  2.12276618  -5.37197309  2.7529302134
## 249     3      AZ   0.099018326  1.86088303  -2.96992781  3.3468934069
## 250     4      AZ  -6.850376717  8.02225801 -14.61453644  7.9295610989
## 251     5      AZ  -3.639012512  9.22404748 -16.62316830 13.1309301855
## 252     6      AZ  -5.095105015  9.20517456 -16.92786704 11.9737435572
## 253     7      AZ  -8.861226026 12.99076175 -24.41347761 15.1799787030
## 254     8      AZ  -4.710908772  9.04470758 -16.64360308 11.9287135155
## 255     9      AZ  -5.130102179  5.83697764 -10.71878705  5.5667085862
## 256    10      AZ  -4.355517842  4.00516369  -9.63962129  4.4216406546
## 257    11      AZ  -8.113409794  9.25029988 -18.72123637  9.8450597942
## 258    12      AZ  -4.421298714  6.03402018 -11.51675426  6.7428094656
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## 267    21      AZ  -4.898000273  7.03732652 -12.78286497  8.1884995115
## 268    NA      AZ  -4.156107647  5.20506421  -9.74028213  5.4642978691
## 269   -44      CA            NA         NaN           NA            NA
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## 315     2      CA  -6.672657065 11.65019171 -22.07518395 15.9269171064
## 316     3      CA -10.941956447 16.70720493 -30.74758765 21.1907252065
## 317     4      CA -11.217301820 13.41899241 -25.34291074 13.9448132049
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## 320     7      CA -10.712646501 12.42053903 -23.37221193 12.4925702561
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## 757   -25      HI  -7.793373591 11.22344487 -21.64982178 13.5290435814
## 758   -24      HI  -7.349078597  8.40439581 -16.42214448  8.5538460494
## 759   -23      HI  -9.124396332 10.78140251 -21.03866602 11.3499882254
## 760   -22      HI  -7.559498308  7.91194034 -15.24258334  7.2140822196
## 761   -21      HI -14.563457281 15.72729280 -30.06870641 14.8934140326
## 762   -20      HI  -2.751868897  2.46506241  -5.69224996  2.5385666180
## 763   -19      HI  -5.549597540  5.53608718 -11.24140615  4.9501327641
## 764   -18      HI  -4.082807164  4.06738809  -8.71183344  4.0328714226
## 765   -17      HI  -8.132803458  9.75865616 -18.48399087 10.0095156828
## 766   -16      HI   5.744042764  6.34964096  -6.42096683 12.5370191873
## 767   -15      HI  15.707758683 16.40199548 -14.90304346 31.2707087151
## 768   -14      HI   6.875708604  8.19757236  -8.69963438 15.8642063057
## 769   -13      HI  21.487961990 27.38417557 -30.02728736 52.4179945003
## 770   -12      HI  31.933598467 38.11175155 -38.87317285 72.1483527764
## 771   -11      HI  29.142479115 31.97286350 -30.63080695 61.0063056758
## 772   -10      HI  13.136705069 15.79060800 -16.89949270 30.7867452937
## 773    -9      HI   7.634930927 12.26910946 -15.72685698 23.6825376895
## 774    -8      HI  14.014433041 15.76199190 -15.79652631 30.3997274484
## 775    -7      HI   2.901281311  5.84118789  -8.12416640 11.1473309893
## 776    -6      HI  -1.113352203  5.93197708 -12.14564326 10.7539263539
## 777    -5      HI -16.207214506 13.19773752 -29.51406873  9.1451903125
## 778    -4      HI -12.854497366 15.29410974 -29.03748023 15.6429405567
## 779    -3      HI   2.693188896  2.95896143  -3.51052585  6.8770556164
## 780    -2      HI  -7.534336803  7.88849518 -15.04600198  7.1951297564
## 781    -1      HI -19.773510650 20.61700268 -39.18441406 18.4097960978
## 782     0      HI -27.951441189 27.61627561 -53.27640003 22.6971492096
## 783     1      HI -35.715600722 36.00685163 -70.01935537 30.9460102901
## 784     2      HI -31.243709810 33.39741438 -63.93512141 31.3788073092
## 785     3      HI -29.187680208 32.94621072 -62.35047979 31.9365698152
## 786     4      HI -36.751186730 40.95954914 -77.26415850 38.4407670056
## 787     5      HI -34.999459827 37.57604575 -72.12905761 35.5112387549
## 788     6      HI -37.065480402 38.08949962 -73.28031254 33.7531297757
## 789     7      HI -41.626766058 41.16806899 -79.64622164 34.1059783849
## 790     8      HI -35.832174749 32.67622257 -67.11533410 24.8023470319
## 791     9      HI -28.095108440 29.42036872 -56.12086270 26.8454210266
## 792    10      HI -30.837892973 34.45984705 -65.38198824 33.2220953189
## 793    11      HI -32.260957646 33.83010790 -64.44291454 29.9443035888
## 794    12      HI -37.023302858 37.13548291 -71.99016974 31.6078046035
## 795    13      HI -35.684201480 36.44845658 -69.22670990 31.9053781845
## 796    14      HI -38.065727869 38.36994286 -73.35579527 32.7973771964
## 797    15      HI -36.548466200 36.06677560 -70.35756634 29.8608435968
## 798    16      HI -33.914637275 33.92933738 -65.56643834 28.7365129274
## 799    17      HI -28.942376815 31.88257500 -60.41380849 29.5924583369
## 800    18      HI -24.922129750 24.93572021 -49.36874207 22.1035907057
## 801    19      HI -32.735657806 31.70199526 -61.40890321 25.2689302443
## 802    20      HI -31.651374615 31.92100317 -61.66847006 27.4153128377
## 803    21      HI -37.468864864 33.96894709 -70.18094150 25.3907550410
## 804    NA      HI -33.569281740 34.24270296 -65.20019346 29.9199876944
## 805   -44      ID            NA         NaN           NA            NA
## 806   -43      ID            NA         NaN           NA            NA
## 807   -42      ID            NA         NaN           NA            NA
## 808   -41      ID            NA         NaN           NA            NA
## 809   -40      ID            NA         NaN           NA            NA
## 810   -39      ID            NA         NaN           NA            NA
## 811   -38      ID            NA         NaN           NA            NA
## 812   -37      ID            NA         NaN           NA            NA
## 813   -36      ID            NA         NaN           NA            NA
## 814   -35      ID            NA         NaN           NA            NA
## 815   -34      ID            NA         NaN           NA            NA
## 816   -33      ID            NA         NaN           NA            NA
## 817   -32      ID            NA         NaN           NA            NA
## 818   -31      ID            NA         NaN           NA            NA
## 819   -30      ID            NA         NaN           NA            NA
## 820   -29      ID  -1.475302513  5.01391755  -9.19690437  7.5061863433
## 821   -28      ID  -0.627756183  8.91566578 -16.24480097 14.6378081562
## 822   -27      ID  -3.986134043  5.54201525 -10.48453373  6.4821875942
## 823   -26      ID  -2.807886973  4.76818352  -8.95813678  6.1631236478
## 824   -25      ID   0.124055131  5.27451283  -8.65941765  8.7949710123
## 825   -24      ID  -2.468243193  3.88732105  -7.58704658  4.7202513825
## 826   -23      ID   3.175920740  5.75305631  -7.62484538 10.9275820073
## 827   -22      ID  -2.601640940  3.25262775  -6.57755029  3.5823764465
## 828   -21      ID  -4.272338557  2.64521577  -7.61005269  1.7913322427
## 829   -20      ID  -6.225495543  4.54100010 -11.31826553  3.4187040636
## 830   -19      ID  -3.217263275  4.99401909 -10.39319278  6.3146433335
## 831   -18      ID  -3.177542134  4.28698812  -9.11730060  4.9986312894
## 832   -17      ID  -1.354418937  5.64151887 -10.77704792  8.5980434376
## 833   -16      ID  -2.420472976  4.05942539  -9.21821372  5.9408207423
## 834   -15      ID  -2.390021984  3.93899161  -7.53359616  4.9232699209
## 835   -14      ID  -2.886656163  5.38669089  -9.92577845  7.1578590826
## 836   -13      ID  -8.562592714  7.15691145 -16.03813879  5.6248582107
## 837   -12      ID  -2.152253258  2.56975760  -4.88792526  2.6921053356
## 838   -11      ID  -2.311536205  2.21808967  -5.44453158  2.0921254741
## 839   -10      ID   0.275633481  2.38541076  -3.94824465  4.9642112389
## 840    -9      ID  -3.881297637  7.61523594 -16.65578366 12.1135875314
## 841    -8      ID   0.442559131  3.73515090  -5.81628776  7.0552022824
## 842    -7      ID   1.344566729  3.60313213  -5.15563039  7.4928984167
## 843    -6      ID   5.392236420  3.82374984  -3.42723649 10.3297401256
## 844    -5      ID  10.377332846  7.87282830  -5.17974270 18.8058271023
## 845    -4      ID   9.093916947  5.95578423  -3.44684126 16.0875511395
## 846    -3      ID  13.263700349 10.05383030  -9.12812104 24.9257907643
## 847    -2      ID  10.232206595  8.22563826  -7.85798497 20.3253806125
## 848    -1      ID   3.096724860  2.45017447  -2.28121082  6.4609966659
## 849     0      ID   4.231284063  2.56207002  -1.59278647  7.7053594546
## 850     1      ID   2.916924970  2.60698451  -2.89540088  6.4050200994
## 851     2      ID   1.899384718  4.01158908  -6.71026577  9.1700187779
## 852     3      ID  -0.325660594  1.70728515  -2.86525287  2.8490572077
## 853     4      ID   2.026109621  1.95946350  -2.05234214  4.7984716212
## 854     5      ID  -1.120182838  5.97860584 -10.15208001  9.6180544860
## 855     6      ID  -1.813614880  5.59093461 -10.52979507  8.7855989830
## 856     7      ID  -3.019439583  9.05753714 -17.23174663 14.2180147269
## 857     8      ID  -1.656160263  7.82341434 -14.86619312 12.9685346323
## 858     9      ID   6.830752394  5.97762705  -4.13274863 12.5956332331
## 859    10      ID   6.322328933  4.51445412  -4.34095504 11.9017175086
## 860    11      ID   6.127476286  4.16523828  -3.22604931 11.1584112711
## 861    12      ID   1.884345068  4.55774742  -6.58227919  9.0699778190
## 862    13      ID  -1.892024459  5.96736542 -11.15763689  9.3951777790
## 863    14      ID   0.284714655  4.64460730  -8.73185942  8.9841183541
## 864    15      ID   1.746709551  4.07091681  -6.94821149  8.9642394351
## 865    16      ID   3.529177894  3.14394899  -3.78441641  7.9315202461
## 866    17      ID   4.828781472  2.93076100  -1.96907841  8.5820619447
## 867    18      ID   5.473344635  6.19408341  -6.17821560 12.3427324863
## 868    19      ID   5.525184066  8.35947378 -10.34215399 17.1332960212
## 869    20      ID   0.982812058  2.45862478  -4.22468831  5.3507751568
## 870    21      ID   5.095425031  3.16825511  -1.48919372  9.3656191853
## 871    NA      ID   2.267166945  2.45468692  -3.06768078  5.8883932847
## 872   -44      IL            NA         NaN           NA            NA
## 873   -43      IL            NA         NaN           NA            NA
## 874   -42      IL            NA         NaN           NA            NA
## 875   -41      IL            NA         NaN           NA            NA
## 876   -40      IL            NA         NaN           NA            NA
## 877   -39      IL            NA         NaN           NA            NA
## 878   -38      IL            NA         NaN           NA            NA
## 879   -37      IL            NA         NaN           NA            NA
## 880   -36      IL            NA         NaN           NA            NA
## 881   -35      IL            NA         NaN           NA            NA
## 882   -34      IL            NA         NaN           NA            NA
## 883   -33      IL            NA         NaN           NA            NA
## 884   -32      IL            NA         NaN           NA            NA
## 885   -31      IL            NA         NaN           NA            NA
## 886   -30      IL            NA         NaN           NA            NA
## 887   -29      IL            NA         NaN           NA            NA
## 888   -28      IL            NA         NaN           NA            NA
## 889   -27      IL  -4.359554474  2.61051059  -7.95420195  1.2609354732
## 890   -26      IL  -7.535454799  4.44202326 -13.72240569  1.9550692114
## 891   -25      IL  -8.496567199  5.83564404 -15.47263541  3.3552567628
## 892   -24      IL  -3.193563256  1.95372800  -5.99226919  0.7374096548
## 893   -23      IL  -2.606784858  1.56789500  -4.88263060  0.6753397623
## 894   -22      IL  -3.407981708  1.95689034  -6.20608985  0.4797677711
## 895   -21      IL  -3.138215784  2.11494652  -5.73093599  1.3185332840
## 896   -20      IL  -4.673480142  3.20344890  -8.51061982  1.8947500255
## 897   -19      IL  -0.937616420  1.41814916  -3.34502456  2.0760780090
## 898   -18      IL   0.956921728  3.36117460  -5.28406386  6.1794526410
## 899   -17      IL  -0.184950478  4.08246853  -7.69171561  7.4509067025
## 900   -16      IL   3.448626926  5.27576728  -6.57064580 10.7021574359
## 901   -15      IL   3.699806558  4.91676760  -6.47367315 11.0969931553
## 902   -14      IL   1.445637763  2.85525431  -4.56829378  6.2250162158
## 903   -13      IL   0.791132764  1.10869922  -1.73634336  2.7146651730
## 904   -12      IL   4.104845262  3.25879478  -2.19004891  7.6242408233
## 905   -11      IL  -0.565824830  2.64761280  -5.22229898  4.5738553151
## 906   -10      IL   0.481534639  1.64560609  -2.55206284  3.1289488152
## 907    -9      IL   8.673661118  6.05667923  -5.18368813 15.8444174854
## 908    -8      IL  10.211934073  7.02401998  -6.06978557 18.6012083498
## 909    -7      IL  -0.946671270  3.68053310  -6.71621610  5.8973200036
## 910    -6      IL   0.556130118  3.14149067  -5.46257981  6.2498617590
## 911    -5      IL   0.247543644  4.88437916  -8.61611024  8.9510616164
## 912    -4      IL  -1.167253417  4.78662936  -8.88224661  7.8089927727
## 913    -3      IL   4.823642566  4.19831576  -3.27845518  8.9840370970
## 914    -2      IL   5.956441545  5.04927793  -3.75736513 10.8954482815
## 915    -1      IL  -4.183940070  8.35838994 -15.54901617 11.7417232667
## 916     0      IL -15.209130247 20.28517666 -37.38905110 22.9881848359
## 917     1      IL  -9.881147505 11.58444948 -21.76497262 11.5954403308
## 918     2      IL  -8.004260003  9.28635448 -17.10936600  9.1911410089
## 919     3      IL  -9.394487392  9.66660828 -18.46151174  8.1037924316
## 920     4      IL  -8.242236679  9.25366873 -17.31175811  8.7232509425
## 921     5      IL  -7.065231768  7.88207505 -14.90817970  7.4258907334
## 922     6      IL  -9.188749723 12.41992701 -23.57708742 14.0753650242
## 923     7      IL -13.081220191 16.03920601 -29.95767286 16.7454732212
## 924     8      IL  -7.347717121  7.77819646 -14.49799792  6.7934834797
## 925     9      IL  -7.008820170  7.12375688 -14.78832558  6.3945222943
## 926    10      IL  -8.310232121  8.14674729 -17.21698008  7.0488139344
## 927    11      IL  -1.001358311  3.00713625  -6.08085258  4.2521353241
## 928    12      IL   0.769188973  2.06944748  -3.67203436  4.5535364635
## 929    13      IL  -5.785125829  6.85301315 -12.43496358  6.9010598553
## 930    14      IL  -8.106315589 10.04471094 -18.50687656 10.5260026295
## 931    15      IL  -7.063636565  7.72402464 -14.41691430  7.0522073006
## 932    16      IL  -9.403847637  9.14718616 -18.54235364  7.4699147445
## 933    17      IL -10.340739636 11.23306895 -20.85264531 10.1522005557
## 934    18      IL  -5.167896176  5.86371273 -11.11339628  5.6314213414
## 935    19      IL  -3.636890181  5.84526950 -10.88444781  7.3915829578
## 936    20      IL  -5.573239475  5.05646530 -10.43893894  3.8162055466
## 937    21      IL  -0.051350147  6.81481189 -11.50517713 11.4516693672
## 938    NA      IL  -7.186111068  8.60100890 -15.78762667  8.7588173563
## 939   -44      IN            NA         NaN           NA            NA
## 940   -43      IN            NA         NaN           NA            NA
## 941   -42      IN            NA         NaN           NA            NA
## 942   -41      IN            NA         NaN           NA            NA
## 943   -40      IN            NA         NaN           NA            NA
## 944   -39      IN            NA         NaN           NA            NA
## 945   -38      IN            NA         NaN           NA            NA
## 946   -37      IN            NA         NaN           NA            NA
## 947   -36      IN            NA         NaN           NA            NA
## 948   -35      IN            NA         NaN           NA            NA
## 949   -34      IN            NA         NaN           NA            NA
## 950   -33      IN            NA         NaN           NA            NA
## 951   -32      IN            NA         NaN           NA            NA
## 952   -31      IN            NA         NaN           NA            NA
## 953   -30      IN  -1.704487333  1.81381473  -4.47499895  2.3378652645
## 954   -29      IN  -3.852796703  3.53303256  -8.56277179  4.3105758817
## 955   -28      IN  -9.678296386 10.07347521 -19.64603500  9.4481862548
## 956   -27      IN  -2.146987439  3.35750218  -7.08209453  4.7277804715
## 957   -26      IN  -1.898517472  2.40751278  -5.44018941  3.2669285080
## 958   -25      IN  -2.579251592  2.50076665  -5.55873458  2.6042570295
## 959   -24      IN  -3.642005230  2.85049505  -7.50164134  2.9490691146
## 960   -23      IN  -3.361252342  2.39084845  -6.21109939  1.8346833564
## 961   -22      IN  -1.334360253  1.30516283  -3.40154395  1.6658148659
## 962   -21      IN   1.296791255  2.81184769  -3.80711167  5.2582205001
## 963   -20      IN   0.272147982  4.49894490  -7.86506095  8.1769465543
## 964   -19      IN  -0.209221520  2.87157690  -5.72559874  5.4752201151
## 965   -18      IN  -0.379346020  3.37722318  -6.80663932  6.3526698496
## 966   -17      IN  -0.233648739  2.64524047  -5.55853682  5.2789255955
## 967   -16      IN   2.388967676  3.14819925  -3.53787371  5.9759345342
## 968   -15      IN  -0.385696707  1.24514891  -2.20458932  1.8427177954
## 969   -14      IN   1.993491135  3.17877159  -4.91063973  7.1952103651
## 970   -13      IN  -1.246608262  1.49712387  -3.76672605  2.1034845016
## 971   -12      IN   3.573213938  3.67664776  -4.77441613 10.0109233293
## 972   -11      IN  -0.509312053  4.28607554  -8.16986132  6.8141886255
## 973   -10      IN  -2.125933865  3.13707391  -5.67225500  3.7615907359
## 974    -9      IN   3.296981677  2.15046043  -1.52456838  6.5182980667
## 975    -8      IN   1.324172082  2.16222469  -2.74472197  4.2768559657
## 976    -7      IN   4.026103439  2.90718679  -2.25674688  7.5412456700
## 977    -6      IN  10.067219856  9.39009125  -9.59992896 21.1371122409
## 978    -5      IN   7.130272510  5.50917402  -5.88259221 14.1215028454
## 979    -4      IN  -0.159389325  2.92104229  -4.61865775  5.1062965089
## 980    -3      IN  -2.034260512  8.26051972 -13.26998988 13.6442054846
## 981    -2      IN   2.378899357  2.44093903  -2.91157065  5.8852378263
## 982    -1      IN  -0.266889156  1.13438986  -2.09952716  1.8354580948
## 983     0      IN  -7.974553470  6.73912402 -15.26698167  5.3380601498
## 984     1      IN  -6.412770888  4.90099096 -12.23823536  4.4300107031
## 985     2      IN  -6.306004227  5.87493192 -12.64165032  5.1088720537
## 986     3      IN  -8.617045832 12.47187200 -22.40047912 14.3273941241
## 987     4      IN -11.974189372 12.92748018 -26.09032737 12.9904048752
## 988     5      IN  -3.023061374  2.45865559  -5.44256840  1.6173484364
## 989     6      IN  -5.809033002  4.52525820 -10.57851305  2.8151762109
## 990     7      IN  -5.634983068  3.56064510 -10.27446541  2.0585242116
## 991     8      IN  -0.846771800  4.24474049  -8.29783986  6.4724734049
## 992     9      IN   1.348745749  1.89861021  -2.70759203  4.3935485777
## 993    10      IN  -5.518484679  6.48383900 -11.64302329  6.4666147951
## 994    11      IN  -6.550747486  6.43209278 -13.29276908  5.8799735775
## 995    12      IN  -3.923056844  2.95980535  -7.42429786  2.5779250746
## 996    13      IN  -7.601855657  6.09725843 -14.18832435  4.1819072238
## 997    14      IN  -8.258355730  7.92259644 -15.92535788  6.7072220585
## 998    15      IN  -2.891362694  1.72723536  -5.11494744  1.0683387238
## 999    16      IN  -4.201557379  4.46465806  -9.40179684  4.4859847632
## 1000   17      IN  -3.645100395  3.24312175  -7.91170495  2.9176996768
## 1001   18      IN   1.664896101  4.06134386  -6.84853534  8.7543652921
## 1002   19      IN  -6.535938164  4.11944200 -11.76142151  2.4760186913
## 1003   20      IN  -5.167836142  3.05770378  -9.41086420  1.3733578098
## 1004   21      IN  -6.123124554  3.80917492 -11.15048706  2.4518535866
## 1005   NA      IN  -5.181917768  4.40987747 -10.05931656  3.9039543439
## 1006  -44      KS            NA         NaN           NA            NA
## 1007  -43      KS            NA         NaN           NA            NA
## 1008  -42      KS            NA         NaN           NA            NA
## 1009  -41      KS            NA         NaN           NA            NA
## 1010  -40      KS            NA         NaN           NA            NA
## 1011  -39      KS            NA         NaN           NA            NA
## 1012  -38      KS            NA         NaN           NA            NA
## 1013  -37      KS            NA         NaN           NA            NA
## 1014  -36      KS            NA         NaN           NA            NA
## 1015  -35      KS  -3.058382056  3.43851775  -7.18053436  3.6870827157
## 1016  -34      KS  -3.440071261  4.26043452  -9.87292558  5.7516680732
## 1017  -33      KS   0.209445044  3.69926700  -5.88633360  7.1780555102
## 1018  -32      KS  -0.551263372  2.20725294  -3.72658573  3.6292585190
## 1019  -31      KS  -1.255822146  2.88323198  -5.54083719  4.1669526198
## 1020  -30      KS  -1.888386335  3.30330890  -6.59678297  4.3813168093
## 1021  -29      KS   0.837936810  1.10740443  -1.33713093  2.6211696610
## 1022  -28      KS  -0.731407399  1.12141014  -2.58282837  1.8596857164
## 1023  -27      KS  -0.322927629  0.90337369  -1.99625833  1.6433951808
## 1024  -26      KS   2.524566598  2.41720430  -2.07264504  5.2325778093
## 1025  -25      KS   4.364680053  4.75016650  -4.37418383  8.9163769070
## 1026  -24      KS   3.203310720  3.40846315  -3.62379432  7.1262059776
## 1027  -23      KS   5.026831652  5.30422312  -5.15683930 10.6925947807
## 1028  -22      KS   0.330033842  1.91098662  -2.97540390  3.4222754674
## 1029  -21      KS  -0.341682935  0.59516972  -1.51867598  0.7028385548
## 1030  -20      KS   3.688941395  4.46342134  -4.50940291  8.1833994093
## 1031  -19      KS  11.189563379 12.16170331 -10.81075839 22.4745429607
## 1032  -18      KS   6.129432541 12.22205162 -16.49045042 22.6167805742
## 1033  -17      KS  -2.663571275  9.38581079 -17.80538318 13.6473102809
## 1034  -16      KS   1.330812648  6.79574584 -11.55999966 11.2503488703
## 1035  -15      KS  -0.413593354  4.06436413  -7.52649391  6.6123121792
## 1036  -14      KS   0.682231004  3.55669093  -6.03473139  6.8520521194
## 1037  -13      KS   1.037839792  2.26075540  -3.24335019  4.4866944928
## 1038  -12      KS   4.601756604  4.27362220  -5.42218873 10.9351681644
## 1039  -11      KS   0.866764750  6.36946213 -10.65673744 11.6951347438
## 1040  -10      KS  -1.897146491  2.50114938  -5.18940184  3.0152411749
## 1041   -9      KS  -1.794858689  3.04312416  -6.56498854  4.4147168390
## 1042   -8      KS  -2.502629306  7.20425651 -14.17282067 11.1579479647
## 1043   -7      KS  -1.622085182  3.95845545  -7.29731742  5.5255685730
## 1044   -6      KS  -3.475779976  6.68950050 -12.12765848  9.0368613643
## 1045   -5      KS  -2.294248527  5.80112555 -10.65853572  8.3889947619
## 1046   -4      KS  -3.479371361  5.76333916 -11.28726539  7.4853098989
## 1047   -3      KS  -6.451207838  7.97683729 -14.27378501  8.2220064121
## 1048   -2      KS  -3.660135043 10.20749204 -19.15839953 14.7734980328
## 1049   -1      KS  -4.179576657 11.01760167 -19.67381066 15.7034505471
## 1050    0      KS  -5.517156203  7.81573344 -14.38495191  9.2080114563
## 1051    1      KS  -5.164385928  7.88819406 -14.32857022  9.3066683548
## 1052    2      KS  -2.892031023  5.13389356  -9.17977952  6.4670303824
## 1053    3      KS  -4.451323542  3.58907736  -8.72119590  3.2722191462
## 1054    4      KS  -7.226018730  6.98537894 -13.91080511  5.6440786328
## 1055    5      KS  -6.276583519  9.07209837 -16.52841772 10.6409296885
## 1056    6      KS  -5.892367131  8.31286661 -15.07488417  9.5477917830
## 1057    7      KS  -3.444653396  5.51290992 -10.30880054  6.7194322583
## 1058    8      KS  -2.046009759  4.87449732  -8.60832844  7.1276900440
## 1059    9      KS  -2.630315134  5.75248640 -10.47174944  8.1474530471
## 1060   10      KS  -3.395226687  4.36175989  -9.39209325  5.6798232227
## 1061   11      KS  -6.562698131  6.88094176 -12.93365967  6.0801182688
## 1062   12      KS  -4.010279617  6.33609394 -13.57966520  8.7752821080
## 1063   13      KS  -4.050079138  6.13538236 -15.15523099  9.3959047758
## 1064   14      KS  -2.384556495  2.63996950  -5.79939182  2.9843859901
## 1065   15      KS  -0.217684788  1.91900069  -3.35570481  3.1404783598
## 1066   16      KS   0.835493752  2.05273812  -3.03845982  3.7140445856
## 1067   17      KS  -2.719438617  2.82600075  -7.54231018  2.8030282058
## 1068   18      KS  -4.597480284  6.61919380 -11.96928538  7.6568091831
## 1069   19      KS  -3.431809358  7.45043407 -14.14344966 10.1409328789
## 1070   20      KS  -3.950450417  5.22530621 -10.86994207  6.1348178617
## 1071   21      KS  -3.674809234  4.47735420  -8.61735882  4.5956801218
## 1072   NA      KS  -3.804539244  4.97041308  -8.89138340  5.3775606481
## 1073  -44      KY            NA         NaN           NA            NA
## 1074  -43      KY            NA         NaN           NA            NA
## 1075  -42      KY            NA         NaN           NA            NA
## 1076  -41      KY            NA         NaN           NA            NA
## 1077  -40      KY            NA         NaN           NA            NA
## 1078  -39      KY            NA         NaN           NA            NA
## 1079  -38      KY            NA         NaN           NA            NA
## 1080  -37      KY            NA         NaN           NA            NA
## 1081  -36      KY            NA         NaN           NA            NA
## 1082  -35      KY            NA         NaN           NA            NA
## 1083  -34      KY            NA         NaN           NA            NA
## 1084  -33      KY            NA         NaN           NA            NA
## 1085  -32      KY  -1.441395986  1.33965116  -3.44541980  1.6187056460
## 1086  -31      KY  -2.955660074  2.80799882  -6.65400995  3.1828652970
## 1087  -30      KY  -4.790685562  5.81532415 -11.37706432  6.2195577519
## 1088  -29      KY  -4.899602760  5.25171034 -10.35529450  4.8570277162
## 1089  -28      KY  -3.592238116  3.35841330  -7.25651262  2.7628789031
## 1090  -27      KY  -3.366276283  2.75772136  -6.68343827  2.1569635568
## 1091  -26      KY  -0.722046468  1.06533406  -2.18087013  1.3964058464
## 1092  -25      KY  -2.735649881  2.45791615  -6.09766543  2.9613676031
## 1093  -24      KY  -1.061679307  1.22930872  -3.04582773  1.7970323458
## 1094  -23      KY  -0.629107429  1.25791905  -2.98961270  2.2408774988
## 1095  -22      KY   1.102873162  3.81714532  -6.24739708  7.0823534659
## 1096  -21      KY   1.532389122  3.88448825  -5.98097760  7.2518770218
## 1097  -20      KY   0.450465988  3.15064644  -5.57815869  5.8467488805
## 1098  -19      KY   0.477046904  4.35416275  -7.49762606  8.0567338501
## 1099  -18      KY   5.667643685  6.47884260  -6.27162818 11.7350625011
## 1100  -17      KY   1.029448424  1.08741701  -0.99421149  2.1406407608
## 1101  -16      KY   0.453051460  1.77631811  -2.90441313  3.4603627889
## 1102  -15      KY  -4.104006973  2.85986209  -7.36078967  1.4710716765
## 1103  -14      KY   1.244976987  2.71588349  -4.85678611  5.9584540496
## 1104  -13      KY  -0.845546498  4.91685018  -9.71659378  8.7475842870
## 1105  -12      KY  -7.253808710  5.19879601 -13.49048638  4.1266267458
## 1106  -11      KY   0.731024936  1.00401824  -1.50087021  2.4246191929
## 1107  -10      KY  -0.139762846  1.98928956  -3.90293364  3.7572992134
## 1108   -9      KY   5.294520396  4.73131319  -3.82605971 10.2801470874
## 1109   -8      KY   8.713665069  7.08512316  -5.58260100 16.4791461893
## 1110   -7      KY   5.569887143  3.41762008  -2.14141810 10.4326600868
## 1111   -6      KY  -0.518542419  1.64677249  -3.57619369  3.0465822783
## 1112   -5      KY  -5.010732497  5.31188962 -12.90387368  6.6591521224
## 1113   -4      KY   4.834565820  3.72313620  -2.49965970  8.6761294094
## 1114   -3      KY   0.157242377  4.59825735  -7.32194589  7.8682263471
## 1115   -2      KY   1.700993579  4.74655264  -6.75997525  8.6123846485
## 1116   -1      KY   5.106946758  4.07090366  -2.72457811  9.2137833686
## 1117    0      KY   1.089913533  1.40252928  -1.62213948  3.5087911386
## 1118    1      KY  -0.921092704  2.23942394  -5.14745089  4.3301589596
## 1119    2      KY  -3.267547426  4.92689596  -8.79470731  6.1023515390
## 1120    3      KY   3.224065500  3.15740366  -2.93776356  6.5499444134
## 1121    4      KY  -0.589930184  5.62270602 -10.01086427  9.3961509188
## 1122    5      KY  -0.812822988  4.77532189  -8.79043884  7.8589340743
## 1123    6      KY   4.360204378  4.16747993  -3.58077995  8.7966514072
## 1124    7      KY   3.834387103  4.10743296  -3.96072676  8.5065811812
## 1125    8      KY   1.524941419  0.76353943  -0.06570026  2.6976840329
## 1126    9      KY  -0.232835010  1.62445816  -2.55644091  2.9400649325
## 1127   10      KY   3.692686334  3.30010606  -2.40994557  6.7506461144
## 1128   11      KY  -0.496456567  3.82356075  -6.93628337  6.4654463245
## 1129   12      KY  -4.005125665  7.48211643 -13.73735754  9.8857604579
## 1130   13      KY   2.127241640  2.81155227  -3.18945120  5.4059773047
## 1131   14      KY  -1.695564744  2.97373713  -5.33267619  3.9945479004
## 1132   15      KY  -2.437369302  2.59675631  -5.34302944  2.5714432971
## 1133   16      KY  -5.755406119  7.02231886 -15.21127111  7.8616330078
## 1134   17      KY  -0.802794379  2.24903289  -4.50593090  3.5081667723
## 1135   18      KY   1.725738336  2.30614514  -2.62450179  4.6927841255
## 1136   19      KY   1.504927530  4.04527028  -6.15718459  7.0751040224
## 1137   20      KY   8.603312964  5.37099160  -2.96299972 16.2016041408
## 1138   21      KY  -0.510907955  2.45081535  -4.41801024  4.2614604591
## 1139   NA      KY   0.461798441  1.51701080  -2.22579582  3.1011905668
## 1140  -44      LA            NA         NaN           NA            NA
## 1141  -43      LA            NA         NaN           NA            NA
## 1142  -42      LA            NA         NaN           NA            NA
## 1143  -41      LA            NA         NaN           NA            NA
## 1144  -40      LA            NA         NaN           NA            NA
## 1145  -39      LA            NA         NaN           NA            NA
## 1146  -38      LA            NA         NaN           NA            NA
## 1147  -37      LA            NA         NaN           NA            NA
## 1148  -36      LA            NA         NaN           NA            NA
## 1149  -35      LA            NA         NaN           NA            NA
## 1150  -34      LA            NA         NaN           NA            NA
## 1151  -33      LA            NA         NaN           NA            NA
## 1152  -32      LA            NA         NaN           NA            NA
## 1153  -31      LA            NA         NaN           NA            NA
## 1154  -30      LA            NA         NaN           NA            NA
## 1155  -29      LA   1.952129793  4.94043995  -7.05974486  9.1078837440
## 1156  -28      LA  -1.546455954  3.31320100  -7.08879286  5.0516110002
## 1157  -27      LA   4.019659821  5.54627199  -6.58502359 11.1916129802
## 1158  -26      LA  -4.182378235  3.26607284  -8.02056330  2.7430138430
## 1159  -25      LA  -4.669280565  3.50580259  -8.63808202  2.5856578966
## 1160  -24      LA  -3.221855559  2.11011555  -5.86714385  1.4937653503
## 1161  -23      LA  -4.377872538  3.05733719  -8.30286754  2.8304468162
## 1162  -22      LA  -4.593671131  3.52402753  -8.79254206  3.0503676823
## 1163  -21      LA  -2.939919533  1.79073742  -5.35372665  1.2845440804
## 1164  -20      LA  -9.435832404  7.35044882 -17.18785984  5.0886757909
## 1165  -19      LA  -2.631828006  3.70774006  -7.27365417  4.4140285907
## 1166  -18      LA  -0.650748536  2.84369186  -5.26161708  4.5158503852
## 1167  -17      LA   4.457867109  7.05933229  -8.97912095 13.1604219729
## 1168  -16      LA   3.358042366  6.06982846  -8.24454346 11.2623308367
## 1169  -15      LA   5.765056572  6.42383939  -6.41601063 12.2115843418
## 1170  -14      LA   3.020554578  2.56631034  -1.77406583  5.5005670762
## 1171  -13      LA   1.226696936  4.09806013  -6.00777126  7.5310733871
## 1172  -12      LA   5.046496179  6.13347148  -6.62038974 11.9554221819
## 1173  -11      LA   7.411803907  5.14178437  -4.86669750 14.1307925157
## 1174  -10      LA  12.166377386  9.55512608  -9.21400850 24.4406267269
## 1175   -9      LA   1.484992747  2.78900713  -4.09593158  6.0848341850
## 1176   -8      LA   4.245839687  2.59414559  -1.83858649  7.7318653391
## 1177   -7      LA  -0.926284994  5.22747896  -9.00098986  8.2946152084
## 1178   -6      LA   1.274575755  3.78088178  -6.46833725  8.0920915723
## 1179   -5      LA   6.875458620  4.55442229  -3.15985427 12.5205204808
## 1180   -4      LA  -1.658662681  9.22316890 -16.11784012 14.6559276676
## 1181   -3      LA  -9.304826353 11.43269081 -22.34650340 12.2595592784
## 1182   -2      LA  -7.481670432 10.95839575 -21.53096502 13.0675446469
## 1183   -1      LA  -4.684264536  7.68119519 -14.26850115  9.9437358074
## 1184    0      LA  -9.441726105 11.14587639 -20.49481884 11.4382792274
## 1185    1      LA  -7.082492108  8.71364588 -16.43777936  9.4592771039
## 1186    2      LA  -6.504313721  8.70285773 -15.98613909  9.8905694355
## 1187    3      LA  -8.624423000  9.79766330 -18.21458003  9.6865098860
## 1188    4      LA  -5.306224606  8.15896914 -16.02659423  9.9636276835
## 1189    5      LA  -7.865784436 10.21836617 -19.33600638 11.3440085127
## 1190    6      LA  -8.126579557  9.17519885 -17.58435251  9.2114616104
## 1191    7      LA -11.710586141 11.87634713 -23.98218230 10.9959260057
## 1192    8      LA  -8.821468162  8.66640579 -18.41311584  8.0452521458
## 1193    9      LA  -4.437750442  4.31940754  -8.95252590  3.7900198360
## 1194   10      LA  -6.306880932  7.11750159 -13.86582374  7.0706432695
## 1195   11      LA  -9.925875854 10.11143424 -19.23147025  9.0861532002
## 1196   12      LA  -7.560587626  8.53786558 -15.85755116  8.4059469583
## 1197   13      LA  -5.295050007  6.88230824 -12.75546196  7.6980818069
## 1198   14      LA  -9.423058758  9.18937107 -18.98653736  8.0140118482
## 1199   15      LA  -6.800872354  7.87149311 -14.92081633  8.0330554690
## 1200   16      LA  -6.504571685  7.39301994 -14.28949244  7.5110989189
## 1201   17      LA -12.011950782 13.49750887 -25.45106350 13.1791809788
## 1202   18      LA  -8.368308804  6.56002996 -15.23906946  3.9836573010
## 1203   19      LA  -5.132001916  9.37275605 -20.25199631 13.8368999850
## 1204   20      LA  -1.143812837  1.36357790  -3.42994708  2.0596424504
## 1205   21      LA  -3.687224294  3.40534852  -8.56301772  4.0279127530
## 1206   NA      LA  -7.276433824  8.07993444 -15.05189316  7.8718735303
## 1207  -44      MA            NA         NaN           NA            NA
## 1208  -43      MA            NA         NaN           NA            NA
## 1209  -42      MA            NA         NaN           NA            NA
## 1210  -41      MA            NA         NaN           NA            NA
## 1211  -40      MA            NA         NaN           NA            NA
## 1212  -39      MA            NA         NaN           NA            NA
## 1213  -38      MA            NA         NaN           NA            NA
## 1214  -37      MA            NA         NaN           NA            NA
## 1215  -36      MA            NA         NaN           NA            NA
## 1216  -35      MA            NA         NaN           NA            NA
## 1217  -34      MA            NA         NaN           NA            NA
## 1218  -33      MA            NA         NaN           NA            NA
## 1219  -32      MA            NA         NaN           NA            NA
## 1220  -31      MA            NA         NaN           NA            NA
## 1221  -30      MA            NA         NaN           NA            NA
## 1222  -29      MA   1.880634686  5.68578047  -9.13934500 11.0011878036
## 1223  -28      MA   0.946368682  5.47564351  -9.61357335 10.5504828974
## 1224  -27      MA  -3.471916090  2.14857085  -6.32251184  1.3529173570
## 1225  -26      MA   0.275532110  2.71531108  -4.99045451  5.2632290648
## 1226  -25      MA   1.349817604  3.45205640  -5.42146307  6.7577921969
## 1227  -24      MA  -0.452953005  1.99206867  -4.21691816  3.6742701594
## 1228  -23      MA   1.466178405  4.82585162  -7.73520489  9.1867323895
## 1229  -22      MA   0.144656900  5.63185213 -10.09304592 10.2362521849
## 1230  -21      MA   2.708342631  4.55074990  -6.07896273  8.7624021798
## 1231  -20      MA   0.626456901  3.41767127  -5.74524696  6.3654428151
## 1232  -19      MA   5.193394048  9.20324106 -12.41927230 18.3656753992
## 1233  -18      MA   3.791734925  6.10788979  -7.95827318 12.3006346930
## 1234  -17      MA   4.297714887  6.07559904  -7.76425518 12.9073991194
## 1235  -16      MA   3.997806095  5.60124621  -6.95396632 11.5355125714
## 1236  -15      MA   6.673668030  6.99247424  -6.49382909 13.7972447048
## 1237  -14      MA   4.008487613  3.35112862  -2.28895418  7.2996380085
## 1238  -13      MA  -2.496276984  2.50818645  -5.28731161  2.4265394383
## 1239  -12      MA  -1.039665008  1.32394031  -2.55725111  1.5279727974
## 1240  -11      MA   6.031001435  4.54076666  -3.97886358 11.2041045975
## 1241  -10      MA  13.903437371  9.89970936  -8.53040102 25.3187894315
## 1242   -9      MA  -3.374028473  4.85567696  -9.30189220  5.9615756109
## 1243   -8      MA  -2.953449691  5.60265603 -10.82781270  7.9038727889
## 1244   -7      MA  -7.859850646 11.62785020 -22.65933885 14.4716021853
## 1245   -6      MA  -7.581288372 10.13288299 -19.67540369 11.7766053266
## 1246   -5      MA  -1.536915608  7.69824456 -14.13270690 12.6111502608
## 1247   -4      MA  -0.430151522  8.27810033 -14.68137681 14.2555278707
## 1248   -3      MA  -4.598639210  7.92128190 -15.33272751 10.7800334157
## 1249   -2      MA  -9.616793610 14.03012909 -27.32188038 17.3063227938
## 1250   -1      MA -11.883304104 13.08661291 -25.42638914 13.0396702300
## 1251    0      MA -16.975369228 17.26662329 -33.41710374 15.3289843350
## 1252    1      MA -20.300160687 19.82264198 -38.56927015 16.3606243702
## 1253    2      MA -14.747345047 15.12951470 -29.20550650 13.6131649062
## 1254    3      MA -10.471853570 10.95760491 -21.56509136 10.1882179117
## 1255    4      MA  -5.538963520  8.80341531 -17.33119660 11.5555920095
## 1256    5      MA -18.878818999 21.00228683 -40.48270724 20.8202522507
## 1257    6      MA -14.447591951 14.05009413 -27.44558380 11.4719041399
## 1258    7      MA -17.376708306 16.15159746 -32.57536563 13.0508125042
## 1259    8      MA -17.837883815 16.42219272 -33.42355012 13.4628931723
## 1260    9      MA  -9.119506743  9.35634621 -18.59731441  8.5374934861
## 1261   10      MA  -7.260915546  8.68058797 -16.41098374  9.0985414284
## 1262   11      MA  -9.348173355  9.52458644 -18.37234135  8.4385113455
## 1263   12      MA -10.091533422 11.12237752 -21.04332054 10.5278255119
## 1264   13      MA -11.505199431 11.58377576 -22.65471414 10.0930189891
## 1265   14      MA -14.806548316 13.56715475 -27.74010391 11.0345253886
## 1266   15      MA -17.853426421 17.66169804 -34.40903245 14.8771491729
## 1267   16      MA -15.074993760 14.79555222 -28.74159996 12.2493584562
## 1268   17      MA  -8.096431851  9.62862021 -18.47620016 10.0494921297
## 1269   18      MA  -3.988038463  3.20486765  -7.46978431  2.7479818655
## 1270   19      MA   3.399958215  5.54591867  -7.45557208 11.1430452317
## 1271   20      MA -14.921910736 13.78851342 -27.86455601 10.7638237104
## 1272   21      MA -10.170481217  8.54954857 -19.03707595  6.8526725586
## 1273   NA      MA -12.064177099 12.33822144 -23.96520681 11.0260618814
## 1274  -44      MD            NA         NaN           NA            NA
## 1275  -43      MD            NA         NaN           NA            NA
## 1276  -42      MD            NA         NaN           NA            NA
## 1277  -41      MD            NA         NaN           NA            NA
## 1278  -40      MD            NA         NaN           NA            NA
## 1279  -39      MD            NA         NaN           NA            NA
## 1280  -38      MD            NA         NaN           NA            NA
## 1281  -37      MD            NA         NaN           NA            NA
## 1282  -36      MD   4.837764094  5.46645281  -4.97648282  9.7659185702
## 1283  -35      MD   1.305588165  4.50765263  -7.24130883  8.8037263356
## 1284  -34      MD   0.723429832  2.06116111  -3.51360936  4.4179081841
## 1285  -33      MD   1.804916949  1.22678937  -0.67896197  3.2868361197
## 1286  -32      MD   2.638694571  2.50149119  -2.38111016  5.4050936717
## 1287  -31      MD   0.450684822  1.06907352  -1.83988174  2.3792230885
## 1288  -30      MD   0.801520881  1.05231708  -1.34661431  2.2651686976
## 1289  -29      MD   2.286755628  2.34073556  -2.23487403  4.8555289069
## 1290  -28      MD   1.495212538  3.24353079  -4.53229690  5.9348187092
## 1291  -27      MD   4.092839251  4.81554099  -4.77490738  9.0906061081
## 1292  -26      MD   7.681065765  8.48291897  -7.55805376 15.5531542090
## 1293  -25      MD   4.324550470  5.32399726  -5.66535949 10.6213577641
## 1294  -24      MD   7.566495311  8.76431248  -8.49697859 16.8796861269
## 1295  -23      MD   6.829616339  9.06454149 -10.51757606 18.3444184284
## 1296  -22      MD   9.392487331  9.79504647  -8.17314577 18.4419074247
## 1297  -21      MD   4.982687104  5.44942676  -4.74275363  9.8510222263
## 1298  -20      MD   4.200413562  4.69068956  -4.36420943  8.5328971412
## 1299  -19      MD   1.198863290  5.47434434  -8.03503531  9.2219182423
## 1300  -18      MD  -2.118722515  7.21773238 -14.05196504 11.4035226822
## 1301  -17      MD   4.999915609 12.03487337 -17.32833838 22.0182995214
## 1302  -16      MD  -8.295852740  5.97696360 -15.20526475  5.1685537495
## 1303  -15      MD  -1.222871688  1.27782574  -2.95280616  1.4893764932
## 1304  -14      MD  -3.024745676  2.85427369  -5.95755642  2.4911493645
## 1305  -13      MD   0.849544746  6.17462312 -10.13534424 10.9764002023
## 1306  -12      MD  -0.023868842  3.50506807  -6.00115581  5.9787660368
## 1307  -11      MD  -1.387427943  2.37433050  -5.48110942  3.8207526426
## 1308  -10      MD  -6.005830847  5.80655325 -12.56811353  5.6853441118
## 1309   -9      MD  -9.165230557 10.76186577 -23.20848642 12.7049976665
## 1310   -8      MD  -4.567459760  9.29751810 -17.11189739 12.3534273295
## 1311   -7      MD  -6.068504284 10.86601318 -19.78704101 14.0947322341
## 1312   -6      MD  -7.606051108 13.49571289 -24.45554020 17.3210002702
## 1313   -5      MD  -4.223912749  9.23413179 -17.43031286 12.5896475008
## 1314   -4      MD  -3.490446483  5.02122517  -9.13577429  5.7540580332
## 1315   -3      MD  -5.231785906  8.93763658 -18.32126386 12.3255617748
## 1316   -2      MD  -8.551389406 13.13449756 -23.92952338 15.1576662983
## 1317   -1      MD  -1.478945755  5.61641998 -10.24080133  8.5459077832
## 1318    0      MD -10.462601708 15.17851080 -28.17726274 17.2990857095
## 1319    1      MD -11.051361894 15.11151731 -27.80292444 16.5961800110
## 1320    2      MD  -7.416634047  6.19957172 -14.70543610  5.8298289964
## 1321    3      MD  -4.423937400  3.41664809  -8.05619302  2.5658300930
## 1322    4      MD  -7.872491017  9.62126280 -17.33434776  9.5405048488
## 1323    5      MD -10.369461201 12.43008929 -22.41500133 12.1491320851
## 1324    6      MD  -6.072005408 10.16189652 -18.82434114 12.5022770309
## 1325    7      MD  -8.101565924 11.97460952 -21.61960199 14.0202637527
## 1326    8      MD  -9.893853807 14.26188061 -25.72038378 16.4398641162
## 1327    9      MD  -8.360477202 10.96111229 -21.40654347 11.8335822666
## 1328   10      MD  -7.236375378  7.73966734 -14.30713359  6.5507963119
## 1329   11      MD  -4.944046887  5.31592911 -12.98129143  7.3153401833
## 1330   12      MD  -7.145030358  8.20563374 -18.69061847 10.5023055014
## 1331   13      MD -10.182479827 11.33564153 -21.16229722 10.5536761177
## 1332   14      MD  -3.168256249  5.95288889 -10.92945300  7.6309222850
## 1333   15      MD  -5.347183583  9.95624812 -18.39717911 12.8277644006
## 1334   16      MD  -2.365649677  4.52086924 -10.07768783  7.2466795543
## 1335   17      MD  -3.991324982  5.97367449 -10.79844865  7.0545527658
## 1336   18      MD -10.395884052 12.27118697 -24.00591499 12.1487380350
## 1337   19      MD -11.056157929 10.97547362 -22.35238146  9.6818611131
## 1338   20      MD  -3.521010399  5.73027669 -10.48852215  7.0026875315
## 1339   21      MD  -9.004513412 10.73309914 -19.37850548 10.4639476128
## 1340   NA      MD  -7.381013743  8.88821896 -16.03741159  8.7704100334
## 1341  -44      ME            NA         NaN           NA            NA
## 1342  -43      ME            NA         NaN           NA            NA
## 1343  -42      ME            NA         NaN           NA            NA
## 1344  -41      ME            NA         NaN           NA            NA
## 1345  -40      ME            NA         NaN           NA            NA
## 1346  -39      ME            NA         NaN           NA            NA
## 1347  -38      ME   7.831607697  8.86631679  -8.45662021 16.2095543545
## 1348  -37      ME   1.112594058  7.26806361 -11.78422408 12.9435554979
## 1349  -36      ME  -0.991990865  2.20142508  -4.71776826  3.6325154022
## 1350  -35      ME  -6.174546238  6.08414365 -11.88629761  5.0275187439
## 1351  -34      ME   3.614440032  4.62719771  -5.09819745  8.6503005394
## 1352  -33      ME   3.890231949  5.48443781  -6.45046821 10.3032517311
## 1353  -32      ME   5.645384168  5.90530027  -5.25203742 11.0670161497
## 1354  -31      ME   4.477658711  4.60471044  -4.16326936  8.8437689489
## 1355  -30      ME   3.713660108  6.20165621  -7.85611730 11.3569087959
## 1356  -29      ME  -2.224468637  1.58448702  -4.07672206  1.3860911686
## 1357  -28      ME   5.550763881  7.03376755  -7.61630960 13.4283475090
## 1358  -27      ME  -0.985787513  2.32054199  -4.26463642  3.3600264447
## 1359  -26      ME   0.814267853  3.77158369  -5.81149828  7.0469956870
## 1360  -25      ME  -3.750261211  4.18906445  -7.74831760  3.9627317897
## 1361  -24      ME   2.950080789  4.05065047  -4.59743743  7.7730835629
## 1362  -23      ME   0.272645566  0.74822734  -1.23306800  1.5313474159
## 1363  -22      ME  -2.471980236  2.03643720  -4.43058177  1.3940356224
## 1364  -21      ME   4.467210722  5.83026184  -6.55998900 10.5625066057
## 1365  -20      ME  -4.151547923  2.72733161  -7.56090736  2.0725200846
## 1366  -19      ME   1.772965448 11.25536523 -17.84960781 19.4879819253
## 1367  -18      ME  -8.363063264  7.85983524 -15.95690701  6.4044530362
## 1368  -17      ME  -2.733969799  2.81562745  -5.64899821  2.5140282461
## 1369  -16      ME  -5.421702316  5.58039806 -10.60557884  4.8296363378
## 1370  -15      ME   1.473591615  8.76973716 -13.66350547 15.3518586065
## 1371  -14      ME   4.744336317  5.03051627  -5.02657128 10.2149893798
## 1372  -13      ME  -0.675833797  2.54589565  -5.01753297  4.3133035993
## 1373  -12      ME  -1.441895215  2.30906081  -4.00855292  2.9414933884
## 1374  -11      ME  -3.896470705  4.12480242  -9.00931890  5.0551652531
## 1375  -10      ME  -0.559149293  8.02296389 -13.38202769 12.7993884329
## 1376   -9      ME  -4.049797804  9.88048099 -17.86716052 14.0684193415
## 1377   -8      ME  -1.035596880  9.27386059 -15.74896798 14.8425176239
## 1378   -7      ME   8.484037439  6.41917605  -5.79843380 15.8140109634
## 1379   -6      ME  -0.395734922  2.23976638  -3.88214860  3.5049985561
## 1380   -5      ME   2.011445383  4.61607016  -7.34522039  9.7549628651
## 1381   -4      ME -10.250844913 11.46838853 -21.19303397 11.1535860246
## 1382   -3      ME  -2.570368316  8.38336136 -15.03938368 12.3618361140
## 1383   -2      ME  -0.231521352  8.04268188 -13.37504905 13.1699240007
## 1384   -1      ME  -0.450390539  6.97402055 -11.75798980 11.4029093680
## 1385    0      ME   0.426456235  1.15103195  -1.97301202  2.4497855200
## 1386    1      ME  -3.393324031  2.53769192  -6.70877496  2.6740490920
## 1387    2      ME  -2.479775743  3.14239969  -5.56990984  3.3751314065
## 1388    3      ME  -3.963128290  5.26526287  -9.40769810  5.9094675890
## 1389    4      ME  -0.505650387  7.17051867 -11.99089688 11.4820308514
## 1390    5      ME  -0.964568427  6.08697215 -10.37094562  9.7895690375
## 1391    6      ME  -3.503308381  8.85088013 -15.88800248 12.7840505692
## 1392    7      ME  -0.046513876  5.47755351  -9.34682236  9.3007092933
## 1393    8      ME  -5.126060155  5.70285318 -10.58872883  5.4629575020
## 1394    9      ME   0.646493904  6.27077828 -10.34549356 11.1535184675
## 1395   10      ME  -7.855387919 10.98262261 -20.66357656 12.8696348689
## 1396   11      ME  -3.442792820  5.40179143 -10.20996040  6.6239083405
## 1397   12      ME   5.771389532  4.01136771  -3.77839530 10.6557320904
## 1398   13      ME   3.130116938  5.72329190  -7.46805505 10.8929771818
## 1399   14      ME  10.064857014  7.86808920  -7.85769025 19.3680292687
## 1400   15      ME   3.104423635  2.21273555  -1.59414543  5.6532918218
## 1401   16      ME  -5.219093941  4.59843451 -10.92902017  5.4327100473
## 1402   17      ME   2.925542573  5.78390692  -7.77162852 11.2036654774
## 1403   18      ME   4.742383846  3.18818356  -2.87989336  8.6360912618
## 1404   19      ME  -0.650327138  2.89327666  -5.08858965  4.6265755324
## 1405   20      ME  -2.242441084  2.58106656  -4.88385886  2.5920342168
## 1406   21      ME   7.235540649  5.92763556  -4.78411179 13.3968241944
## 1407   NA      ME  -0.061143994  1.27567697  -2.08023394  2.2569269419
## 1408  -44      MI            NA         NaN           NA            NA
## 1409  -43      MI            NA         NaN           NA            NA
## 1410  -42      MI            NA         NaN           NA            NA
## 1411  -41      MI            NA         NaN           NA            NA
## 1412  -40      MI            NA         NaN           NA            NA
## 1413  -39      MI            NA         NaN           NA            NA
## 1414  -38      MI            NA         NaN           NA            NA
## 1415  -37      MI            NA         NaN           NA            NA
## 1416  -36      MI            NA         NaN           NA            NA
## 1417  -35      MI            NA         NaN           NA            NA
## 1418  -34      MI            NA         NaN           NA            NA
## 1419  -33      MI            NA         NaN           NA            NA
## 1420  -32      MI            NA         NaN           NA            NA
## 1421  -31      MI            NA         NaN           NA            NA
## 1422  -30      MI            NA         NaN           NA            NA
## 1423  -29      MI  -0.177545860  4.10734781  -6.71280120  6.5277919299
## 1424  -28      MI  -2.091884523  3.33054332  -6.42247321  4.2426998367
## 1425  -27      MI -14.410737758 12.43705514 -26.24260622  8.9782985362
## 1426  -26      MI  -3.630572147  2.54360412  -6.61143553  2.0731529046
## 1427  -25      MI   0.373468729  2.33823652  -3.59418583  3.9644118081
## 1428  -24      MI  -0.026412191  2.02829526  -3.26944113  3.2419156818
## 1429  -23      MI  -2.656111455  2.75670585  -5.36688637  2.5991826781
## 1430  -22      MI   0.036780152  6.10748779  -9.77158380  9.8080488870
## 1431  -21      MI   2.002224681  4.14072230  -5.57062960  7.5554599162
## 1432  -20      MI   3.373925763  6.21502892  -8.08407973 11.4286888698
## 1433  -19      MI   1.878870147  7.89538398 -11.83015680 13.6927012700
## 1434  -18      MI   0.283950548  4.11920624  -6.49331453  6.7747993415
## 1435  -17      MI   2.669750169  5.95085559  -8.15340822 10.7999606535
## 1436  -16      MI   3.521213904  6.18734721  -7.91971593 11.4103334742
## 1437  -15      MI   4.954145565  6.00414020  -6.24703279 11.1581291463
## 1438  -14      MI   4.756271949  4.52588215  -3.45796112  8.6613872360
## 1439  -13      MI   2.054718779  5.78317914  -8.27781270 10.3146787700
## 1440  -12      MI   0.170010210  2.29067731  -3.60606658  3.7746049212
## 1441  -11      MI   2.597854958  5.10823676  -6.95572652  9.6627260892
## 1442  -10      MI   4.688319353  5.89811737  -6.64692816 11.5322163061
## 1443   -9      MI  -3.442347641  4.42230712  -8.23130041  4.8188620599
## 1444   -8      MI   0.700945420  2.83653840  -4.28436405  5.0147624982
## 1445   -7      MI  -2.160285823  7.06526849 -12.46366150 10.3221437257
## 1446   -6      MI  -1.813445115  5.06190510  -9.03382182  7.2361304796
## 1447   -5      MI   7.399994245  5.48658359  -4.22559663 13.4757245888
## 1448   -4      MI   2.554624320  7.60135993 -11.14400566 13.8059590282
## 1449   -3      MI  -5.151347778  8.54606673 -15.80970992 10.7031202626
## 1450   -2      MI  -6.333572714 11.77049008 -21.63243598 15.3538906553
## 1451   -1      MI  -2.122805888  4.14630211  -7.59550919  5.4911457618
## 1452    0      MI -20.206448888 20.93986451 -39.37993884 18.3245802791
## 1453    1      MI -20.122117961 20.19764782 -37.83257449 16.8419227387
## 1454    2      MI -18.122265501 18.82227276 -35.40762573 16.5240115504
## 1455    3      MI -15.740071262 16.78255199 -31.66447687 15.2631376180
## 1456    4      MI -15.764726482 19.71869118 -36.68346482 21.0557230341
## 1457    5      MI -19.111764228 21.89407600 -40.55852073 21.6128261367
## 1458    6      MI -16.400220124 16.22973977 -30.72944979 13.2188609335
## 1459    7      MI -20.944271463 19.42581803 -38.14047207 15.0148066166
## 1460    8      MI -20.627421824 18.82137448 -37.56347386 14.0500871778
## 1461    9      MI -11.018309586 10.28181983 -20.06484791  8.0106708070
## 1462   10      MI  -7.862590740  9.18803151 -17.04354692  9.2492771700
## 1463   11      MI -13.896992780 14.06230930 -26.36762000 11.8769181940
## 1464   12      MI -11.743406620 12.62086045 -23.83091351 11.5941469521
## 1465   13      MI -15.544485490 15.82213712 -29.68842734 13.4848516009
## 1466   14      MI -23.890907285 22.38204980 -43.50642943 17.3694582125
## 1467   15      MI -17.397509150 17.34406081 -32.60508324 14.3023711748
## 1468   16      MI -15.603864404 15.32818503 -29.23103132 12.3262282100
## 1469   17      MI -13.608344011 15.38653721 -28.47417785 14.9840850503
## 1470   18      MI -12.269407850 11.18625005 -22.34314965  8.3357772448
## 1471   19      MI  -3.012110830 11.07210316 -19.37282111 16.3868811326
## 1472   20      MI -15.810997178 14.66263343 -28.79254766 11.3299249565
## 1473   21      MI -15.992847290 14.02247216 -29.12370306  9.9729367032
## 1474   NA      MI -15.667776407 16.06785479 -30.17560572 13.8495981110
## 1475  -44      MN            NA         NaN           NA            NA
## 1476  -43      MN            NA         NaN           NA            NA
## 1477  -42      MN            NA         NaN           NA            NA
## 1478  -41      MN            NA         NaN           NA            NA
## 1479  -40      MN            NA         NaN           NA            NA
## 1480  -39      MN            NA         NaN           NA            NA
## 1481  -38      MN            NA         NaN           NA            NA
## 1482  -37      MN            NA         NaN           NA            NA
## 1483  -36      MN            NA         NaN           NA            NA
## 1484  -35      MN            NA         NaN           NA            NA
## 1485  -34      MN            NA         NaN           NA            NA
## 1486  -33      MN   4.177495817  6.91386243  -9.02825066 12.7895378162
## 1487  -32      MN  -0.530803359  6.90493588 -13.60612369 11.9247560613
## 1488  -31      MN   0.485791529  3.63090706  -6.75959289  7.3409449807
## 1489  -30      MN   0.996843143  3.66085609  -5.88689086  7.0292871665
## 1490  -29      MN   0.219922573  3.05000021  -5.30957725  4.9956428950
## 1491  -28      MN  -1.272434453  2.33413339  -5.31299201  3.4126473854
## 1492  -27      MN   3.581954385  4.81692505  -5.67562138  9.2242314852
## 1493  -26      MN   2.499734860  4.43499517  -6.16183992  8.9249749937
## 1494  -25      MN   0.063959315  2.60708216  -4.90171574  4.3575868032
## 1495  -24      MN   4.720792525  6.57625802  -7.85498868 11.6514128867
## 1496  -23      MN   5.634420318  6.33286391  -6.63261571 12.7967474726
## 1497  -22      MN   4.661069689  5.84613113  -6.65778083 11.6053129779
## 1498  -21      MN   4.340410534  5.13028049  -6.80583847 11.5543701998
## 1499  -20      MN   0.993129981  4.35052266  -7.51521870  8.6004254516
## 1500  -19      MN   7.714751254  7.72045946  -6.59327150 15.2868177284
## 1501  -18      MN   4.502170327  3.69330480  -2.80485850  8.4327751953
## 1502  -17      MN   4.058161000  5.04284360  -5.46066808  9.3930685011
## 1503  -16      MN   3.181275115  3.28399412  -2.83464554  6.3418902484
## 1504  -15      MN   4.119475326  5.30089551  -5.95315636 10.6741341659
## 1505  -14      MN   0.691176677  6.44367374 -10.65952252 11.5920978718
## 1506  -13      MN  -6.149354560  6.14377414 -15.47174161  7.7849381635
## 1507  -12      MN  -1.418440776  3.41153170  -5.84567801  5.2153984276
## 1508  -11      MN  -3.864529450  6.00561199 -10.80532537  7.7153057076
## 1509  -10      MN  -0.373554643  8.96514683 -15.08935845 15.5809451086
## 1510   -9      MN  -1.431523132  3.55618715  -5.65975082  5.5532833101
## 1511   -8      MN  -2.202138131  5.53288646  -9.14595039  8.5925705470
## 1512   -7      MN  -9.949335985 10.78295030 -22.28801728 10.3787364254
## 1513   -6      MN -11.855395766 11.38346447 -24.72714038 10.7534035261
## 1514   -5      MN  -1.956002594  7.95150637 -13.63786247 12.3299364510
## 1515   -4      MN  -4.772910751  9.66874039 -17.36801489 13.3412732125
## 1516   -3      MN  -5.544499821 11.35391635 -20.56088248 15.3493971445
## 1517   -2      MN  -0.946328789  7.93886065 -13.72735824 13.0814081512
## 1518   -1      MN  -4.375282156  5.82954997 -10.79612263  6.5073031774
## 1519    0      MN -21.553796705 20.02083733 -40.57490764 15.4451797275
## 1520    1      MN -19.752590053 21.31325564 -40.10878888 19.7866381886
## 1521    2      MN  -6.572656298 11.13481750 -20.47450883 14.2249766673
## 1522    3      MN  -8.250837560 14.20566246 -26.33197160 18.4839415649
## 1523    4      MN  -8.790537136 13.98677824 -26.05019406 17.6228124370
## 1524    5      MN  -4.562989529  8.27883942 -15.45682215 11.1414371593
## 1525    6      MN  -8.296129199  8.92740778 -18.44824536  8.5185232705
## 1526    7      MN  -7.293435861  8.44658066 -15.72147001  8.5256317323
## 1527    8      MN  -6.526002532  9.03388147 -16.55287039 10.6787597016
## 1528    9      MN  -3.539141394  8.73717738 -15.64893659 12.5732467512
## 1529   10      MN  -7.124113714 11.13612954 -20.70553957 13.8605939123
## 1530   11      MN  -5.609886859 10.33437989 -18.96092452 13.9438281705
## 1531   12      MN  -2.739065161  7.58039334 -13.98983179 11.4445791619
## 1532   13      MN  -4.189443057  5.91100170 -10.53500310  7.1238500641
## 1533   14      MN  -4.858480485  3.35925819  -9.10686018  2.8868301820
## 1534   15      MN -15.667269895 11.29451946 -30.36943419 10.9735606008
## 1535   16      MN  -2.164149426  4.45173644  -8.45092542  6.2688394290
## 1536   17      MN  -4.764548733  7.76181049 -14.56338544  9.6339035584
## 1537   18      MN  -2.650458439  7.99353825 -14.25115282 11.5036817920
## 1538   19      MN   1.875443250  3.51561641  -5.31281456  7.7558155144
## 1539   20      MN  -2.072218067  3.43239843  -6.04684157  4.5012166027
## 1540   21      MN  -3.354809960  3.00540181  -7.41911481  3.1446144862
## 1541   NA      MN  -6.748050764  8.77812858 -15.93566278  9.8736930360
## 1542  -44      MO            NA         NaN           NA            NA
## 1543  -43      MO            NA         NaN           NA            NA
## 1544  -42      MO   0.010803755  6.78534745 -10.90401481 10.9147140260
## 1545  -41      MO   2.015281347  5.45561808  -7.79643017  9.7915844973
## 1546  -40      MO   1.574388555  9.07007540 -13.94536809 15.5040329915
## 1547  -39      MO   0.369708904  6.51217716 -10.33656418 10.7025826780
## 1548  -38      MO   0.738749061  6.07444229  -9.48217612 10.2135478906
## 1549  -37      MO   0.824930172  4.29687052  -6.56851964  7.3852114114
## 1550  -36      MO  -0.271926077  2.07245602  -3.50729992  3.2239531805
## 1551  -35      MO  -0.749233507  3.73863548  -6.47352575  5.6928207430
## 1552  -34      MO   0.617538692  0.43440442  -0.35343527  1.1566767432
## 1553  -33      MO   3.331010992  2.43661571  -1.90642965  6.2391386080
## 1554  -32      MO   1.231837669  3.65350847  -5.28314302  6.5667341107
## 1555  -31      MO   0.896713366  2.98079811  -4.37564588  5.3100332235
## 1556  -30      MO   2.621511071  4.77808318  -6.18819593  8.9198426489
## 1557  -29      MO   4.290286210  3.82822092  -2.67549634  8.0359075698
## 1558  -28      MO  -2.112002277  2.51993285  -4.66100517  2.5701009944
## 1559  -27      MO   1.499881464  4.59470228  -6.67440171  8.2372958642
## 1560  -26      MO   2.343494242  5.68624196  -7.94504396 10.3869920647
## 1561  -25      MO  -0.814192675  9.20087370 -15.29591410 14.4898517104
## 1562  -24      MO   3.415961352  9.95353966 -14.35605600 17.9155232846
## 1563  -23      MO   1.368071626  8.04773707 -12.37454403 13.8000873270
## 1564  -22      MO  -1.813291559  6.32647118 -11.15099883  9.3558176805
## 1565  -21      MO  -3.990705196  6.84259916 -12.65282738  8.7019846398
## 1566  -20      MO  -0.127239980  5.07641970  -8.24264548  8.1166734434
## 1567  -19      MO  -0.134653092  6.09693309  -9.88809543  9.7547838119
## 1568  -18      MO   1.036571504  9.60896890 -15.04621496 16.1263315692
## 1569  -17      MO   1.785279419  5.85766525  -8.58511862 10.4453956161
## 1570  -16      MO   4.497667322  3.15715476  -2.57414100  8.4243426710
## 1571  -15      MO  -3.302788504  4.03048495  -7.60774378  4.1661981460
## 1572  -14      MO  -1.824885875  1.91606287  -3.60921494  1.6643386434
## 1573  -13      MO  -5.405569435  5.45283190 -10.40598300  4.4922194233
## 1574  -12      MO  -5.150731757  4.05779367  -9.64756255  2.9479074651
## 1575  -11      MO  -0.948230883  3.14503782  -5.60357051  4.6155034966
## 1576  -10      MO  -2.151799553  6.55848037 -11.76261907  9.5204189057
## 1577   -9      MO  -5.229868532  6.08357769 -11.45270619  6.0031217112
## 1578   -8      MO  -3.091563168  5.92101448 -11.01562400  7.7941807634
## 1579   -7      MO   2.192170497  5.60624561  -7.93328467 10.1035574443
## 1580   -6      MO  -1.589108237  4.40519567  -7.96073797  6.3048709859
## 1581   -5      MO  -0.546739462  0.48845130  -1.02406949  0.3409978532
## 1582   -4      MO   1.414732170  3.15459519  -4.32739742  5.8015635698
## 1583   -3      MO   2.041725921  2.57159886  -2.75027188  4.7716021915
## 1584   -2      MO   0.685539432  5.71049439  -8.91790623  9.5965992117
## 1585   -1      MO  -1.549324974  3.21359736  -5.94346451  4.3290511602
## 1586    0      MO  -3.459552102  4.60817973  -8.71290015  5.1080069095
## 1587    1      MO  -2.775183676  3.74452494  -7.07974645  4.1879744695
## 1588    2      MO  -4.606305073  4.58288733  -8.86736128  3.8280032213
## 1589    3      MO   0.451147001  0.99953069  -1.37319975  1.8198407559
## 1590    4      MO  -2.243278553  2.95501082  -5.58702782  3.2495052117
## 1591    5      MO  -0.075073182  3.49093213  -5.66356449  5.5853379789
## 1592    6      MO  -4.339811241  3.74242412  -8.12866666  2.7038228487
## 1593    7      MO  -1.912145932  1.40945676  -3.58153763  1.0943767149
## 1594    8      MO   0.806256789  0.89456288  -0.84434990  1.6434390007
## 1595    9      MO  -3.731809890  5.07213011  -9.42966357  5.7351323690
## 1596   10      MO  -3.195425279  7.17960929 -13.05914865  9.8956411374
## 1597   11      MO  -3.199842720  2.84324471  -5.99345530  1.9946962290
## 1598   12      MO  -0.632924947  2.58764164  -4.54003387  3.8805187565
## 1599   13      MO  -2.309226479  2.20990878  -4.32529062  1.7424079323
## 1600   14      MO  -2.859118944  2.87587916  -5.50394085  2.3563890222
## 1601   15      MO   1.916845881  1.36535079  -1.09706454  3.5903421418
## 1602   16      MO   5.669019644  5.80896385  -4.90957680 11.1115605200
## 1603   17      MO  -3.560455122  3.12064788  -6.66889870  2.2182659972
## 1604   18      MO  -2.478487534  2.52514457  -4.80305869  2.0915604977
## 1605   19      MO  -8.685480432  6.43170042 -16.26831153  4.9709389829
## 1606   20      MO  -6.044927092  4.30661237 -11.32243120  3.4596795790
## 1607   21      MO  -2.585120874  1.92069552  -4.84205242  1.4795370146
## 1608   NA      MO  -2.265949989  1.71140130  -4.24423025  1.2968663758
## 1609  -44      MS            NA         NaN           NA            NA
## 1610  -43      MS            NA         NaN           NA            NA
## 1611  -42      MS            NA         NaN           NA            NA
## 1612  -41      MS            NA         NaN           NA            NA
## 1613  -40      MS   0.693099075  4.97315822  -7.86398025  8.4429325601
## 1614  -39      MS   3.467574567  3.94637724  -3.85424386  7.9932837933
## 1615  -38      MS   3.397759779  6.52623626  -8.64381036 12.8910735081
## 1616  -37      MS  -0.085876702  5.68771617  -9.41377760  9.3288726111
## 1617  -36      MS  -1.441869497  6.65198874 -11.74947366 10.3238842182
## 1618  -35      MS  -1.249076961  5.21049091  -9.35887873  8.1239049553
## 1619  -34      MS  -0.425151535  1.84184155  -3.40825127  2.8768060969
## 1620  -33      MS   0.486432489  2.28163988  -3.58001526  3.9863428903
## 1621  -32      MS  -1.842936463  2.02977753  -4.12109481  1.9844876708
## 1622  -31      MS  -5.980452016  7.05801993 -13.52891735  7.2972178028
## 1623  -30      MS  -1.668420806  1.44761566  -3.29854880  1.3315097114
## 1624  -29      MS   2.216570082  3.26467846  -4.02530103  6.6807865442
## 1625  -28      MS   1.875733887  3.15878370  -4.08539281  6.4300903039
## 1626  -27      MS   3.062360647  2.10498163  -1.29109654  5.5766977443
## 1627  -26      MS   7.072010098  8.75246799  -9.34061574 17.0774881222
## 1628  -25      MS   2.165197953  4.40480677  -5.93610386  8.1894498115
## 1629  -24      MS   4.081503958  6.50577493  -8.01427859 12.2619448067
## 1630  -23      MS   5.355767790 13.19690216 -19.40247342 24.6977704761
## 1631  -22      MS   1.347010924  9.03898698 -15.74555826 17.0773571507
## 1632  -21      MS  10.028304023 14.70859664 -17.41387052 27.8504415968
## 1633  -20      MS   3.006053302  8.09887816 -11.64762041 14.7799611435
## 1634  -19      MS  -0.837020922  6.78042713 -12.04844077 11.0021483328
## 1635  -18      MS  -2.736083440  2.79576152  -5.51570072  2.3801083258
## 1636  -17      MS  -0.582561962  4.49138186  -7.85239937  7.1241866011
## 1637  -16      MS   1.361855843  8.91024585 -14.86902132 16.2154982664
## 1638  -15      MS  -7.641969830  4.95288095 -13.91637539  3.7017283310
## 1639  -14      MS  -5.979765418  8.29096260 -15.73194219  9.5087363732
## 1640  -13      MS  -8.669090392 10.76150240 -20.37097367 11.7884835737
## 1641  -12      MS  -2.579465935  2.65446987  -5.14604911  2.3240795190
## 1642  -11      MS  -4.950302319  5.46993884 -10.27641836  5.2987923264
## 1643  -10      MS  -2.788321608  2.41897228  -5.78536079  2.5899018442
## 1644   -9      MS   0.562643473  1.63411597  -2.49655670  2.9665390672
## 1645   -8      MS   0.104739958  4.02272449  -6.55140802  6.6823357151
## 1646   -7      MS  -0.899776785  4.20144234  -7.86689943  6.9772856411
## 1647   -6      MS  -3.021880101  7.24499203 -13.88855411 10.9007966806
## 1648   -5      MS   2.095923729  4.37163909  -5.98382968  7.9498236090
## 1649   -4      MS  -2.874537848  5.06153142  -9.57070876  6.5754102283
## 1650   -3      MS   1.239291274  1.05027768  -0.74458709  2.2937247702
## 1651   -2      MS   3.130056694  5.41029421  -7.20641735 10.3011337970
## 1652   -1      MS  -0.495329006  3.28203158  -5.67686355  5.0834532660
## 1653    0      MS  -8.097434952 12.57800514 -23.83807776 15.4109880946
## 1654    1      MS  -6.797105978  8.51707771 -16.12737526  9.0535537564
## 1655    2      MS  -2.019573038  3.00942448  -5.83893835  3.6294997593
## 1656    3      MS  -6.222081146  7.29601591 -13.70906377  7.2336717458
## 1657    4      MS  -4.737378805  5.22476727  -9.92964840  5.0450274809
## 1658    5      MS  -2.512468036  3.03943352  -6.43480564  3.3680099893
## 1659    6      MS  -7.641925762  8.08237824 -15.36233623  7.3461688694
## 1660    7      MS  -1.480869659  4.93096776  -9.31979182  7.8556430818
## 1661    8      MS -14.186603520 12.75056310 -28.15142554 11.8933620712
## 1662    9      MS   4.491576029  4.96669155  -4.80937742  9.3018328614
## 1663   10      MS   3.856390638  3.05201457  -2.40264115  7.2231999545
## 1664   11      MS   0.341164726  5.61033822  -8.96534575  9.3026564754
## 1665   12      MS   0.392039180  7.82107315 -13.18465710 13.5722639512
## 1666   13      MS  -0.667075970  1.18139254  -2.43057400  1.6660943949
## 1667   14      MS  -2.995010222  5.71228084 -10.91250483  7.9513103008
## 1668   15      MS -17.546050706 17.78451454 -34.42974863 15.2341385977
## 1669   16      MS   3.956427868  6.29500831  -7.77343340 12.0942139582
## 1670   17      MS   5.132325504  3.98218242  -3.09482993  9.6130842150
## 1671   18      MS   5.721183836  4.75019008  -3.43724639 10.7160449721
## 1672   19      MS  -5.078707351  3.42444723  -9.51265638  3.1416016009
## 1673   20      MS   2.252045548  1.82929400  -1.25325544  4.1010773773
## 1674   21      MS  -3.247473608  3.29071077  -8.39741695  4.6757626496
## 1675   NA      MS  -2.594845701  2.83891823  -5.40426328  2.7004035846
## 1676  -44      MT            NA         NaN           NA            NA
## 1677  -43      MT            NA         NaN           NA            NA
## 1678  -42      MT            NA         NaN           NA            NA
## 1679  -41      MT            NA         NaN           NA            NA
## 1680  -40      MT            NA         NaN           NA            NA
## 1681  -39      MT            NA         NaN           NA            NA
## 1682  -38      MT            NA         NaN           NA            NA
## 1683  -37      MT            NA         NaN           NA            NA
## 1684  -36      MT            NA         NaN           NA            NA
## 1685  -35      MT            NA         NaN           NA            NA
## 1686  -34      MT            NA         NaN           NA            NA
## 1687  -33      MT  -2.561963495  3.72933573  -7.17263005  4.4288925562
## 1688  -32      MT  -0.636821420  7.73897739 -14.66067687 14.0964483951
## 1689  -31      MT  -1.958075366  5.24069400  -9.85032317  8.2394360004
## 1690  -30      MT  -1.032716242  4.78140182  -8.67892115  7.7539862519
## 1691  -29      MT   4.202897772  7.97035609 -10.70159322 15.0366496028
## 1692  -28      MT   3.158582078  7.24955650 -10.46056411 13.3187282450
## 1693  -27      MT   3.837997298  6.14710735  -7.79299892 11.7795945617
## 1694  -26      MT   0.640003070  4.41319151  -7.50200371  8.2530513479
## 1695  -25      MT  -2.555589702  1.56782980  -4.60950273  0.8429025702
## 1696  -24      MT  -5.701100721  3.95747882 -10.38196178  2.8250142934
## 1697  -23      MT  -4.768306882  5.99325386 -12.26801385  6.5555032925
## 1698  -22      MT  -6.092727375  6.38647514 -13.60717938  6.0373938513
## 1699  -21      MT  -5.451526453  7.85592976 -16.53858966  9.4573268159
## 1700  -20      MT  -5.996828676  6.65963749 -14.94527821  7.6103614351
## 1701  -19      MT  -3.610676985  4.45418636  -9.05039016  4.8149865185
## 1702  -18      MT  -3.231937908  4.82133077  -9.23934342  5.8072215821
## 1703  -17      MT  -8.095945275  6.68969596 -15.06775183  4.7737614566
## 1704  -16      MT  -4.236530813  4.15057401  -8.64403644  3.6072455900
## 1705  -15      MT  -5.250670861  3.68674839 -10.21859550  2.3686624613
## 1706  -14      MT  -7.103514672  5.64171116 -14.42240963  5.5493788612
## 1707  -13      MT  -6.638598462  8.50772848 -20.22526488 12.2384100236
## 1708  -12      MT  -3.330103227  5.91920450 -11.03760275  7.9647077192
## 1709  -11      MT   4.668920754  3.07998972  -2.46183569  8.5256290731
## 1710  -10      MT   4.194848928  3.91254244  -4.78706059  9.4256686977
## 1711   -9      MT   9.837804781  8.65389012  -6.24434574 18.5167675202
## 1712   -8      MT   9.185723163  7.06438353  -4.83803593 16.8104156830
## 1713   -7      MT  12.981318807 10.69311713  -9.27634677 25.1874476828
## 1714   -6      MT   8.438738622  7.60047300  -7.60939739 18.1341862154
## 1715   -5      MT   2.272873932  2.88348902  -3.81406212  6.5372717784
## 1716   -4      MT   4.550021150  2.62108547  -1.41403479  8.0511019434
## 1717   -3      MT   2.492681475  3.15695448  -3.97840932  7.3245632008
## 1718   -2      MT   3.174099963  3.37939081  -4.44828430  8.3621155641
## 1719   -1      MT   4.617122739  3.60164331  -2.34385833  8.4079887856
## 1720    0      MT   3.510657875  3.61418748  -3.62966062  8.3254549256
## 1721    1      MT   1.076218909  3.50335336  -5.61343664  7.1459144811
## 1722    2      MT  -1.081433286  4.79788811  -8.98915536  7.9329408470
## 1723    3      MT  -2.326009131  8.16088128 -15.47298899 13.3614584634
## 1724    4      MT  -4.537334300 10.01403259 -18.74304643 14.6269275870
## 1725    5      MT   1.589796566  6.21158894  -9.75751899 12.2527617899
## 1726    6      MT   1.245931825  2.95966195  -4.51840451  5.7027150562
## 1727    7      MT   7.526425108  5.59408152  -4.10245320 13.7059614460
## 1728    8      MT   2.736879655  3.23570161  -3.56052071  7.3972418603
## 1729    9      MT  -3.363784475  7.22262031 -13.37529173 10.2717339695
## 1730   10      MT  -0.146715566  4.68835421  -8.65188612  8.7375303494
## 1731   11      MT   0.387246214  4.57274610  -8.44160913  9.0035369981
## 1732   12      MT   2.807202776  2.92994253  -4.08058194  7.4405386582
## 1733   13      MT   1.879689662  1.66127317  -1.32867046  3.6823162960
## 1734   14      MT  -8.137980593  7.51729523 -16.49443630  6.6824022918
## 1735   15      MT  -0.985938849  5.20998004  -8.68454754  9.1495115726
## 1736   16      MT  -0.584415068  3.50945803  -5.93584166  6.2682102082
## 1737   17      MT  -0.076194406  3.40999205  -5.63408696  6.4594015300
## 1738   18      MT  -3.980783167  7.79962253 -14.00191346 10.5908840517
## 1739   19      MT   4.780456474  3.43123845  -2.82529408  9.0528821636
## 1740   20      MT   2.117303475  1.01653487  -0.09213539  3.6354994731
## 1741   21      MT   2.834735292  2.21227619  -2.22153341  6.3339293500
## 1742   NA      MT   0.330543409  2.81121108  -4.62352392  5.6700391972
## 1743  -44      NC            NA         NaN           NA            NA
## 1744  -43      NC            NA         NaN           NA            NA
## 1745  -42      NC            NA         NaN           NA            NA
## 1746  -41      NC            NA         NaN           NA            NA
## 1747  -40      NC            NA         NaN           NA            NA
## 1748  -39      NC            NA         NaN           NA            NA
## 1749  -38      NC            NA         NaN           NA            NA
## 1750  -37      NC            NA         NaN           NA            NA
## 1751  -36      NC  -3.728808112  4.58481288  -9.32385663  4.9976947363
## 1752  -35      NC  -1.139178743  2.83953669  -6.65619192  5.3506755370
## 1753  -34      NC  -2.822000962  6.80654279 -12.37975076 10.2527398984
## 1754  -33      NC   2.540727163  1.43926696  -0.73869111  4.4946576532
## 1755  -32      NC   0.737076238  1.70289239  -2.90202229  3.7850515281
## 1756  -31      NC  -2.640463332  4.23158887  -8.29783577  5.4691909980
## 1757  -30      NC  -1.510545379  1.64059458  -3.67128887  1.9401812922
## 1758  -29      NC  -1.249168357  1.75234914  -3.75311266  2.4305092779
## 1759  -28      NC  -1.703965760  1.13181285  -3.21566999  0.7077318351
## 1760  -27      NC   0.327483599  0.54480832  -0.82908069  1.2950203447
## 1761  -26      NC   4.440779729  4.89990770  -4.79484377  9.3297221198
## 1762  -25      NC   6.293314930  6.44990028  -5.95904380 12.9642699464
## 1763  -24      NC   4.085219599  4.43567529  -4.65295397  9.0355961019
## 1764  -23      NC   4.042104467  4.00003239  -4.62273363  9.4652419730
## 1765  -22      NC   6.813527821  7.12718461  -6.51486865 13.8224756339
## 1766  -21      NC   3.277308714  4.19957445  -4.65752325  7.7322047178
## 1767  -20      NC   1.260217953  2.52882974  -3.60255110  4.8316282030
## 1768  -19      NC   3.513514919  9.77845407 -15.14585392 18.4415604147
## 1769  -18      NC  -2.995170399  8.43306927 -17.23425833 12.5533376159
## 1770  -17      NC   3.095488978  8.09044623 -12.75214483 13.1073554913
## 1771  -16      NC  -5.218225535  2.81051059  -9.23126947  0.5423336803
## 1772  -15      NC  -2.155858365  2.17364252  -5.52073880  2.8264705055
## 1773  -14      NC  -2.607269030  1.58276959  -4.85261864  0.8461729061
## 1774  -13      NC   0.845004114  2.40258309  -4.18508347  5.1534722346
## 1775  -12      NC   5.873366446 10.85622498 -15.05467635 20.6744863966
## 1776  -11      NC   1.383863348  4.31435040  -7.17693358  8.7628611819
## 1777  -10      NC  -2.121045648  3.43544981  -7.26702053  4.8362721854
## 1778   -9      NC  -4.856964732  8.71231371 -17.62405663 12.0579018280
## 1779   -8      NC  -4.172907019  5.74154611 -11.15204475  6.6884352744
## 1780   -7      NC  -2.622955550  5.23725452  -9.70472901  7.5171693342
## 1781   -6      NC  -3.035326192  5.62506367 -10.77196366  7.7694143137
## 1782   -5      NC   0.673680374  2.09324521  -3.84260311  4.5437113029
## 1783   -4      NC  -0.360734576  2.19389647  -3.64449173  3.8356751970
## 1784   -3      NC   1.947773823  5.67327075  -8.73332192 10.8491504849
## 1785   -2      NC  -3.830726431 10.03302508 -18.52508945 14.9318364162
## 1786   -1      NC  -2.379138094  4.87718967  -9.51176692  7.1815364343
## 1787    0      NC  -7.981843424 10.18123034 -18.68594052 11.1989063066
## 1788    1      NC  -7.906002026  9.39854162 -17.51929928  9.6916834963
## 1789    2      NC  -2.076304443  3.19573224  -6.32520525  4.0712031087
## 1790    3      NC   0.304820231  0.85582933  -1.57633972  1.9252686385
## 1791    4      NC  -2.922503140  5.89852148 -11.11955120  8.4825491831
## 1792    5      NC  -6.140263793  8.23180214 -15.07943919  9.5549784343
## 1793    6      NC  -3.922929927  5.54166708 -10.54875959  6.6325488159
## 1794    7      NC  -3.440032210  5.73223648 -10.13646966  7.5253963961
## 1795    8      NC  -5.768519381  8.12151151 -14.77992856  9.8162563609
## 1796    9      NC  -0.461252087  1.80139061  -3.95769244  3.5004471077
## 1797   10      NC  -5.679010328  5.87572046 -11.28736592  5.2095289205
## 1798   11      NC  -0.419087592  3.47905411  -7.45492476  6.9746443918
## 1799   12      NC  -4.173479388  5.72782794 -14.75364302  8.1198557601
## 1800   13      NC  -9.116257000  8.89642738 -17.81362776  7.6652305998
## 1801   14      NC   2.669923024  1.74269645  -1.10807629  4.8650954000
## 1802   15      NC  -2.006903134  2.89295622  -6.98549520  4.2136479953
## 1803   16      NC   3.171149749  6.10739434  -9.39220638 13.0263909163
## 1804   17      NC   2.455636391  1.61383197  -1.22328292  4.4731260838
## 1805   18      NC  -4.186195678  7.74802047 -15.16797860 10.4109681902
## 1806   19      NC  -6.966964973  7.87211174 -15.92102659  7.9367813869
## 1807   20      NC  -6.004532894  6.14926116 -12.22188295  5.6528468447
## 1808   21      NC  -1.599946309  2.80554608  -4.77327378  3.7895455998
## 1809   NA      NC  -3.280477197  4.13125597  -7.48562389  4.5683556901
## 1810  -44      NH            NA         NaN           NA            NA
## 1811  -43      NH            NA         NaN           NA            NA
## 1812  -42      NH            NA         NaN           NA            NA
## 1813  -41      NH            NA         NaN           NA            NA
## 1814  -40      NH            NA         NaN           NA            NA
## 1815  -39      NH            NA         NaN           NA            NA
## 1816  -38      NH            NA         NaN           NA            NA
## 1817  -37      NH            NA         NaN           NA            NA
## 1818  -36      NH            NA         NaN           NA            NA
## 1819  -35      NH            NA         NaN           NA            NA
## 1820  -34      NH            NA         NaN           NA            NA
## 1821  -33      NH  12.163101849 15.32563065 -16.33134316 28.7539804431
## 1822  -32      NH   5.093428479 13.12420464 -19.91677696 24.4362110017
## 1823  -31      NH   0.461336960  5.09836636  -8.80903455  9.3617243663
## 1824  -30      NH  -0.554322441  3.91765111  -6.90022208  6.3802611224
## 1825  -29      NH  -0.380603805  3.62724832  -6.32761182  5.8716407973
## 1826  -28      NH  -2.014048522  2.95667918  -6.42315879  4.0102934300
## 1827  -27      NH   4.220702091  5.64546782  -6.39480645 11.0123122366
## 1828  -26      NH   1.134941416  3.65717461  -5.66578818  7.0254677785
## 1829  -25      NH   2.877541660  5.37857207  -7.39329159  9.9465547982
## 1830  -24      NH  -2.947038692  1.66474674  -5.36668943  0.6104205014
## 1831  -23      NH   5.626529537  5.33886816  -5.45199431 11.9000818892
## 1832  -22      NH  -0.142427665  1.67667470  -2.93297267  2.7919686626
## 1833  -21      NH   0.819498974  2.95412875  -4.38600032  5.1552951148
## 1834  -20      NH   2.327744112  4.94908992  -7.92649441 10.5941238364
## 1835  -19      NH   7.620900401  7.27386173  -6.04089906 14.7670685988
## 1836  -18      NH   5.972486376  4.85166756  -3.77678233 11.1867470418
## 1837  -17      NH   1.468112523  2.59385268  -3.34830762  4.9988213553
## 1838  -16      NH   4.596613600  4.42530193  -3.56827059  8.6096731716
## 1839  -15      NH  -1.999416410  1.45782780  -3.64102944  1.0439401428
## 1840  -14      NH   0.198708504  6.80737744 -10.92801039 11.1557349718
## 1841  -13      NH  -5.351273063  6.66734900 -15.79727554  9.3863603431
## 1842  -12      NH   0.837759358  2.00872120  -3.11489132  4.1185433959
## 1843  -11      NH  -5.216582407  7.48524066 -13.76871362  8.8258205590
## 1844  -10      NH   0.734800995  8.55490605 -14.96891711 15.8492233830
## 1845   -9      NH   0.314306210  1.53683968  -2.75640200  3.1329468251
## 1846   -8      NH  -2.380270499  5.11954390  -9.49339363  7.3813635247
## 1847   -7      NH  -5.286965308  7.16927387 -15.45252365  9.1186509795
## 1848   -6      NH  -9.712331579  9.55612132 -21.76502375 10.1294879202
## 1849   -5      NH  -6.467530241 12.11867663 -22.19898347 16.1323850441
## 1850   -4      NH  -5.055454891 10.35244299 -19.04991816 14.4482360978
## 1851   -3      NH  -6.007803990 12.14577241 -22.18256339 16.5471929971
## 1852   -2      NH   0.437367156  7.33052723 -12.70554824 13.2295230590
## 1853   -1      NH  -3.389810685  4.82272824  -9.09861906  5.7426710798
## 1854    0      NH  -6.166175663  4.74350156 -11.48218080  4.0949995074
## 1855    1      NH -16.618876295 18.79702692 -35.11293904 18.0816840350
## 1856    2      NH  -4.110791616  9.32124462 -17.14398561 13.3078707018
## 1857    3      NH  -2.868622631 10.40157864 -19.22010825 16.6747589230
## 1858    4      NH  -4.010287279 10.76926003 -20.01909308 16.4607379584
## 1859    5      NH   2.800839906  4.52586195  -6.09909917  9.4545533823
## 1860    6      NH  -3.872977507  5.56112464 -11.81721743  7.1773259688
## 1861    7      NH  -3.145228599  4.98294148  -9.19439187  6.2441437080
## 1862    8      NH  -4.259382353  7.81978236 -14.26159295 10.4822131967
## 1863    9      NH  -1.783406654  7.61384239 -13.70936596 12.1269373904
## 1864   10      NH  -2.392939283  7.66924525 -14.22994637 12.1066747624
## 1865   11      NH  -7.012542305 12.41410113 -22.80652594 16.5842480267
## 1866   12      NH  -2.510141149  8.13122868 -15.07386690 12.8466018088
## 1867   13      NH  -5.060860760  7.07781481 -13.03167765  8.2845492947
## 1868   14      NH  -1.004250660  3.41921029  -6.24326657  5.2490479555
## 1869   15      NH  -6.153908880  7.79696582 -15.01482319  8.2963897946
## 1870   16      NH  -5.789593879  8.49609979 -15.73087040 10.3001847131
## 1871   17      NH   2.533423344  2.68070953  -3.15739655  6.1924813418
## 1872   18      NH  -0.334153382  6.52680625 -11.04578874 10.7492924581
## 1873   19      NH   2.794754688  2.76507976  -2.40913635  5.5351265245
## 1874   20      NH  -2.537912836  3.64272185  -6.69909633  4.3185133976
## 1875   21      NH -13.868914453 13.53620396 -26.71148057 11.5331977916
## 1876   NA      NH  -3.880543102  6.48953574 -11.92583941  8.4826069720
## 1877  -44      NJ            NA         NaN           NA            NA
## 1878  -43      NJ            NA         NaN           NA            NA
## 1879  -42      NJ            NA         NaN           NA            NA
## 1880  -41      NJ            NA         NaN           NA            NA
## 1881  -40      NJ            NA         NaN           NA            NA
## 1882  -39      NJ            NA         NaN           NA            NA
## 1883  -38      NJ            NA         NaN           NA            NA
## 1884  -37      NJ            NA         NaN           NA            NA
## 1885  -36      NJ            NA         NaN           NA            NA
## 1886  -35      NJ            NA         NaN           NA            NA
## 1887  -34      NJ            NA         NaN           NA            NA
## 1888  -33      NJ            NA         NaN           NA            NA
## 1889  -32      NJ            NA         NaN           NA            NA
## 1890  -31      NJ            NA         NaN           NA            NA
## 1891  -30      NJ            NA         NaN           NA            NA
## 1892  -29      NJ            NA         NaN           NA            NA
## 1893  -28      NJ            NA         NaN           NA            NA
## 1894  -27      NJ  -0.540361160  4.25593347  -8.23215677  7.5847899333
## 1895  -26      NJ  -2.074027812  4.24473653  -9.49103400  7.0063084612
## 1896  -25      NJ  -7.007140154  4.10975625 -12.76031255  1.9268270943
## 1897  -24      NJ  -2.542818126  2.05221899  -4.98567497  1.9382630966
## 1898  -23      NJ  -0.465641063  2.64576579  -5.15110855  4.5932575285
## 1899  -22      NJ  -2.139919360  1.73710038  -4.34712904  1.7834658659
## 1900  -21      NJ  -2.047585639  2.27173815  -5.43133434  2.9782895343
## 1901  -20      NJ  -1.465578381  4.39634763  -9.08104952  7.3252579546
## 1902  -19      NJ   0.482655089  2.54242995  -4.18320170  4.6610293014
## 1903  -18      NJ   2.290527456  4.71848331  -6.43243072  8.7000725183
## 1904  -17      NJ   4.876065985  7.86747321 -10.19841306 15.7822274123
## 1905  -16      NJ   3.381926017  4.94020659  -6.29457817 10.1703177687
## 1906  -15      NJ   5.771227975  6.29755500  -7.41394708 14.0278635362
## 1907  -14      NJ   5.262042122  5.95217668  -6.41450095 12.4387202676
## 1908  -13      NJ   8.415201707  8.20751551  -6.90944034 16.1157841479
## 1909  -12      NJ   5.604735841  4.37154717  -2.98450823 10.2064772720
## 1910  -11      NJ  -2.474064803  2.02813289  -4.63677376  1.6539512638
## 1911  -10      NJ   0.001895158  1.25990612  -2.24371683  2.2458925033
## 1912   -9      NJ   6.213551320  4.39152200  -3.90351850 11.6705687199
## 1913   -8      NJ  13.556865909  9.57075005  -7.29655724 24.6876661459
## 1914   -7      NJ  -4.150985750  7.18034107 -13.13266942  9.0231594136
## 1915   -6      NJ  -3.374471081  6.82769525 -12.65613534  9.3153821420
## 1916   -5      NJ  -7.720888272 12.40858784 -22.83534794 15.1915961613
## 1917   -4      NJ  -8.110969498 11.68316129 -21.40200976 13.3720708298
## 1918   -3      NJ  -1.769482851  7.92781297 -14.11403786 12.3622398367
## 1919   -2      NJ  -1.690820993  9.16819061 -16.21224675 14.5383238314
## 1920   -1      NJ  -8.281939636 12.76356939 -23.47567091 15.2764735117
## 1921    0      NJ -17.850064472 23.02360263 -42.42108289 24.0986657078
## 1922    1      NJ -15.783218903 17.67817963 -33.12868210 16.3441683395
## 1923    2      NJ -16.961742354 18.36893628 -34.25165867 16.5301856248
## 1924    3      NJ -19.582584684 20.14417189 -38.17700490 16.8759233405
## 1925    4      NJ -15.528966695 17.01944076 -31.77429937 15.2129374288
## 1926    5      NJ -11.356587500 12.34471007 -23.05318672 11.2194850328
## 1927    6      NJ -12.454095961 15.66111700 -29.55108028 16.5737602855
## 1928    7      NJ -18.901329384 22.49473960 -41.40831484 21.7129171077
## 1929    8      NJ -14.914748603 15.50323265 -28.80405093 13.1640746454
## 1930    9      NJ -17.761758092 18.12661140 -35.11588912 15.1285159803
## 1931   10      NJ -19.443780943 19.69247824 -38.44133068 16.5195371632
## 1932   11      NJ  -8.995946657 11.49332296 -21.69909121 11.8468419921
## 1933   12      NJ  -4.815974699  7.63706797 -14.02121476  9.2533552848
## 1934   13      NJ -10.977777511 12.18073411 -22.72946964 11.2236010340
## 1935   14      NJ -12.743324771 15.24244827 -27.98893716 14.7050988952
## 1936   15      NJ -13.171194064 14.16045197 -26.36293430 12.5041978675
## 1937   16      NJ -15.255617650 15.34892042 -30.16112194 12.8024727792
## 1938   17      NJ -19.929376351 21.13262711 -39.22310770 18.4518846229
## 1939   18      NJ -15.432465895 16.49137647 -30.69257929 14.5135166980
## 1940   19      NJ -10.879022908 13.29311038 -24.19637852 13.2025367478
## 1941   20      NJ  -8.512828931  8.13097319 -16.24488519  6.3082499047
## 1942   21      NJ  -2.438734529  8.85369194 -15.62946969 13.1793480944
## 1943   NA      NJ -13.804142798 15.53716219 -28.78325143 13.9917307725
## 1944  -44      NM            NA         NaN           NA            NA
## 1945  -43      NM            NA         NaN           NA            NA
## 1946  -42      NM            NA         NaN           NA            NA
## 1947  -41      NM            NA         NaN           NA            NA
## 1948  -40      NM            NA         NaN           NA            NA
## 1949  -39      NM            NA         NaN           NA            NA
## 1950  -38      NM            NA         NaN           NA            NA
## 1951  -37      NM            NA         NaN           NA            NA
## 1952  -36      NM            NA         NaN           NA            NA
## 1953  -35      NM            NA         NaN           NA            NA
## 1954  -34      NM            NA         NaN           NA            NA
## 1955  -33      NM            NA         NaN           NA            NA
## 1956  -32      NM            NA         NaN           NA            NA
## 1957  -31      NM            NA         NaN           NA            NA
## 1958  -30      NM            NA         NaN           NA            NA
## 1959  -29      NM  -2.178071904  3.20792576  -6.02742245  3.7962958862
## 1960  -28      NM  -0.628986651  2.99486643  -5.80950208  5.0886738584
## 1961  -27      NM  -1.297311440  4.31192820  -8.05280247  6.7022535409
## 1962  -26      NM  -3.380434996  6.06164980 -11.21878508  7.8721200337
## 1963  -25      NM  -4.705649285  5.73950841 -10.64107636  5.7495254143
## 1964  -24      NM  -8.644583082  8.65832402 -16.64147780  6.9741675239
## 1965  -23      NM  -3.251471977  4.54804871  -8.55464937  5.2776898465
## 1966  -22      NM  -1.891856346  2.88276361  -5.69671694  3.5166146020
## 1967  -21      NM  -2.827797664  1.52200145  -5.05737556  0.2222106161
## 1968  -20      NM  -7.570240864  7.02045083 -14.07051263  5.1216567597
## 1969  -19      NM  -7.240658405  5.58524504 -13.18556694  3.3983723828
## 1970  -18      NM  -5.599841175  3.58583052 -10.10560617  1.5484382857
## 1971  -17      NM   6.499179934  9.88830709 -11.89308240 17.6592144835
## 1972  -16      NM  -6.626238290  3.64550817 -12.06668033  1.4121706426
## 1973  -15      NM   3.860831585  4.41508697  -4.17394573  8.0668922475
## 1974  -14      NM   5.752229079  6.54038285  -6.36999603 12.6976332798
## 1975  -13      NM   1.612864315  1.46806389  -1.64377629  3.4269804123
## 1976  -12      NM  -4.043397897  4.35045001  -8.51109888  3.9811207708
## 1977  -11      NM   2.127331082  2.45476490  -2.70546081  5.7983492207
## 1978  -10      NM   5.959652077 11.74430944 -15.66575968 21.7713554032
## 1979   -9      NM  -2.937418496  5.50589044 -10.13483851  7.3825126353
## 1980   -8      NM   3.378197427  1.94898929  -0.83552791  6.0026380249
## 1981   -7      NM   8.868848446  7.60811064  -5.10303228 16.1505753478
## 1982   -6      NM   7.689965310  5.97370017  -4.44025774 14.0050032369
## 1983   -5      NM   5.409699024  5.36634940  -5.43522292 11.9184835690
## 1984   -4      NM   8.166971174  6.50825090  -5.33293881 15.5417999495
## 1985   -3      NM   3.670054906  4.27494504  -4.24469367  8.6530353047
## 1986   -2      NM   1.215157797  3.13950397  -5.01743687  6.9647126507
## 1987   -1      NM  -1.387023684  7.48508568 -13.48176959 11.9643470262
## 1988    0      NM   0.473671320  5.54402559  -8.60355358  9.1129437593
## 1989    1      NM  -4.897326814 10.08290820 -20.69450457 14.5800901628
## 1990    2      NM  -7.795535961 12.36580105 -26.13431792 16.4793896763
## 1991    3      NM  -8.753032972  9.60672393 -19.97734014  9.1695388828
## 1992    4      NM  -1.542780395  1.43251796  -3.54320111  1.6949269354
## 1993    5      NM -10.443759596  9.23572451 -20.41638367  7.7150125907
## 1994    6      NM  -4.722626690  9.54949365 -18.00834206 12.3956033318
## 1995    7      NM   0.193716905  6.45135983 -10.75109959 10.7298038462
## 1996    8      NM  -5.160179310  8.97023782 -18.63258409 12.1822676775
## 1997    9      NM  -4.100766971  3.96130828 -10.31488605  5.1888535576
## 1998   10      NM  -5.503834888  4.14864819 -10.02273292  2.6736921560
## 1999   11      NM   0.004218536  1.61581491  -2.84457435  2.8692755696
## 2000   12      NM  -3.496967275  3.96361091  -9.12992785  4.8710181108
## 2001   13      NM  -6.428505881 10.54553211 -21.63181959 13.6307812819
## 2002   14      NM  -3.576591476  7.00594901 -14.16038472  9.6644819110
## 2003   15      NM  -5.536717534  9.52826830 -18.54737022 11.9142926099
## 2004   16      NM  -5.852616651  9.12564477 -18.96994326 11.6540673618
## 2005   17      NM  -7.929179078  8.38197368 -16.91960486  7.6453555314
## 2006   18      NM  -7.863703694  5.05736869 -14.32016082  3.5778140597
## 2007   19      NM  -8.872604653  7.30682312 -16.28685403  5.2270698357
## 2008   20      NM -16.333673852 15.00178857 -34.21239256 13.7950054071
## 2009   21      NM  -3.904849878  5.79483839 -13.81706389  8.8553043275
## 2010   NA      NM  -5.547438491  6.71191838 -14.55691551  7.6732882477
## 2011  -44      NV            NA         NaN           NA            NA
## 2012  -43      NV            NA         NaN           NA            NA
## 2013  -42      NV            NA         NaN           NA            NA
## 2014  -41      NV            NA         NaN           NA            NA
## 2015  -40      NV            NA         NaN           NA            NA
## 2016  -39      NV            NA         NaN           NA            NA
## 2017  -38      NV            NA         NaN           NA            NA
## 2018  -37      NV   9.591530911 10.20454215  -8.62669063 18.7054992678
## 2019  -36      NV   5.429656521 11.04010904 -14.33795956 20.2753486038
## 2020  -35      NV   7.665343088  6.21197730  -4.37711985 13.9589370910
## 2021  -34      NV   5.248935955  4.81416401  -3.34330509  9.5603804293
## 2022  -33      NV   5.981793391  6.60395649  -5.87190158 12.4090922261
## 2023  -32      NV   3.093934599  4.40568901  -4.96737133  8.4520666901
## 2024  -31      NV   2.188165839  2.09152802  -1.59658341  4.2123238909
## 2025  -30      NV   1.671227932  1.37818354  -1.17740934  3.1805103404
## 2026  -29      NV   3.042190722  5.53079355  -6.96101027 10.0763241256
## 2027  -28      NV   5.134057222  6.75727895  -7.10318681 12.5806084234
## 2028  -27      NV   4.992700892  6.71775954  -7.17648374 12.5001320287
## 2029  -26      NV   3.978131668  6.52068163  -7.85281546 12.2028895119
## 2030  -25      NV   7.788491422 10.65465619 -11.48693785 19.9479788590
## 2031  -24      NV   2.309169876  7.97131524 -11.41088348 14.1173827241
## 2032  -23      NV  10.956190404 12.12531918 -10.78730565 22.3932988732
## 2033  -22      NV  12.262304843 12.74182137 -10.39777507 23.6117090650
## 2034  -21      NV  12.137992181 12.39026825 -10.13807071 23.0866186652
## 2035  -20      NV   8.537156612  9.77924572  -9.10382469 17.5556917157
## 2036  -19      NV  13.923689196 18.18131258 -19.36885524 32.4293891383
## 2037  -18      NV  15.796279107 24.92521149 -29.50775744 45.9457012146
## 2038  -17      NV  -5.055267485  9.09509627 -17.08135541 11.7175576996
## 2039  -16      NV   3.028130668  3.04137931  -2.56820172  6.0877598861
## 2040  -15      NV   6.078431193  6.01899050  -4.81367728 11.3862287222
## 2041  -14      NV   4.339769875  8.22073921 -10.66866301 15.3054081125
## 2042  -13      NV  -8.328835874  8.41694249 -16.75344800  6.8530399615
## 2043  -12      NV  -9.435349226 11.16068261 -21.46643107 11.0529736058
## 2044  -11      NV -12.385560593 10.52948339 -23.08924457  7.7165659331
## 2045  -10      NV -20.470520095 17.72934572 -38.36374943 13.6136385484
## 2046   -9      NV -13.405083949 20.58318235 -37.94972932 23.8632743274
## 2047   -8      NV  -9.526025119 15.76163608 -28.97649684 19.0763204457
## 2048   -7      NV -11.419999861 19.61131130 -35.96634096 24.0665709322
## 2049   -6      NV -11.711137233 19.68838075 -36.29223925 23.7683507379
## 2050   -5      NV -10.851090663 12.76460064 -23.50396303 12.1970021901
## 2051   -4      NV  -7.702013657  6.67797443 -16.11949094  6.8923550874
## 2052   -3      NV -17.091411706 18.23640971 -33.42346479 15.6140132644
## 2053   -2      NV -11.062391418 17.04890578 -31.51474916 19.7812159951
## 2054   -1      NV  -6.730587240 14.40686051 -25.94417655 18.9308300327
## 2055    0      NV  -9.639692758 15.85984111 -29.09107233 19.0464029533
## 2056    1      NV -10.638952579 11.02877114 -21.43667220  9.3941369725
## 2057    2      NV  -9.319206941  7.70686281 -16.97070057  5.6902678937
## 2058    3      NV  -6.055865571  6.75302243 -12.27516947  6.0943858049
## 2059    4      NV -14.277839719 15.57629906 -28.52468818 13.6470161943
## 2060    5      NV -12.098325077 18.49147947 -34.10735995 21.3852268459
## 2061    6      NV -11.169984234 16.14936591 -29.84674360 18.2074923131
## 2062    7      NV -12.783201895 18.29041057 -33.82202689 20.5017839969
## 2063    8      NV -11.270680402 16.24190572 -30.34069823 18.1019179379
## 2064    9      NV -11.177504171 11.88730892 -21.74971327 10.0309008945
## 2065   10      NV  -7.592652644  5.65272079 -14.59729972  5.5006909458
## 2066   11      NV -15.933921968 12.30530503 -29.87299231 10.7633607464
## 2067   12      NV -10.226551847 12.40295945 -23.09579840 12.1729776801
## 2068   13      NV  -4.509937788  8.78881264 -15.95879095 11.2288582970
## 2069   14      NV  -5.538583085 13.09171281 -23.47948697 17.5847668370
## 2070   15      NV  -6.295283113 10.62998750 -20.16495458 12.9607065467
## 2071   16      NV  -9.497498561 10.84409811 -19.79865822 10.0669708059
## 2072   17      NV -10.979766234  9.92421506 -20.97269432  7.8145512909
## 2073   18      NV -15.336634450 13.15874030 -28.69716257  9.5551678694
## 2074   19      NV -11.261002049 14.28048579 -26.35912657 14.6250348380
## 2075   20      NV -10.188871137 12.31775420 -22.71763591 12.1007157791
## 2076   21      NV -10.933003416 11.60333109 -21.25204119  9.7720041018
## 2077   NA      NV -10.305679984 11.67651609 -21.45343063 10.7147940866
## 2078  -44      NY            NA         NaN           NA            NA
## 2079  -43      NY            NA         NaN           NA            NA
## 2080  -42      NY            NA         NaN           NA            NA
## 2081  -41      NY            NA         NaN           NA            NA
## 2082  -40      NY            NA         NaN           NA            NA
## 2083  -39      NY            NA         NaN           NA            NA
## 2084  -38      NY            NA         NaN           NA            NA
## 2085  -37      NY            NA         NaN           NA            NA
## 2086  -36      NY            NA         NaN           NA            NA
## 2087  -35      NY            NA         NaN           NA            NA
## 2088  -34      NY            NA         NaN           NA            NA
## 2089  -33      NY            NA         NaN           NA            NA
## 2090  -32      NY            NA         NaN           NA            NA
## 2091  -31      NY            NA         NaN           NA            NA
## 2092  -30      NY            NA         NaN           NA            NA
## 2093  -29      NY            NA         NaN           NA            NA
## 2094  -28      NY   1.675868988  5.70820300  -8.61518835 10.2743108241
## 2095  -27      NY   0.862894867  5.53669571  -9.01903051  9.8733009397
## 2096  -26      NY  -4.645300604  2.63315450  -8.45929597  1.2032079014
## 2097  -25      NY  -3.003789429  1.66558049  -5.47003189  0.4759551575
## 2098  -24      NY  -2.134259924  1.34275208  -3.88657990  0.6914645871
## 2099  -23      NY  -2.975400106  1.67723970  -5.41833495  0.7349724152
## 2100  -22      NY  -0.768262579  3.37474130  -6.12700751  5.2066125787
## 2101  -21      NY  -0.572572852  5.50738633  -9.52559139  8.8396339952
## 2102  -20      NY   1.751696438  3.82484927  -5.19923176  6.9339435847
## 2103  -19      NY   1.617967358  4.45630587  -6.32917680  7.9328400476
## 2104  -18      NY   4.172654552  9.05124866 -12.13887375 16.7038137690
## 2105  -17      NY   2.156087986  5.11234802  -7.01974160  9.4469477814
## 2106  -16      NY   3.210030468  5.60924074  -7.33597413 11.0147171080
## 2107  -15      NY   1.108476765  3.45548865  -5.16089938  6.4312301683
## 2108  -14      NY   6.041580447  6.55435449  -6.22902007 12.6803386159
## 2109  -13      NY   3.527078373  2.88364979  -1.94567216  6.4229687320
## 2110  -12      NY  -0.750899215  3.36940294  -5.99645646  5.0968650231
## 2111  -11      NY   2.107829135  3.67424291  -4.60100986  6.8000334014
## 2112  -10      NY   7.363786590  4.88416318  -3.97713244 13.5649324477
## 2113   -9      NY  14.633678065  9.74297515  -7.48343589 26.6485911890
## 2114   -8      NY  -3.750138848  5.20730658  -9.70366185  5.9909912151
## 2115   -7      NY  -1.745840276  4.87836814  -8.77876633  7.0503726443
## 2116   -6      NY  -4.393209734  9.03782676 -16.60560353 12.0278330063
## 2117   -5      NY  -5.036618382  8.12558684 -15.17778890  9.9295788109
## 2118   -4      NY   1.263072147  6.47507178  -9.70915951 11.2223443760
## 2119   -3      NY  -1.296133746  9.88278624 -16.52841138 15.2452296638
## 2120   -2      NY  -7.815931348 11.26424094 -21.15023568 13.0059515580
## 2121   -1      NY -12.604345135 17.50924087 -33.01161437 20.2097009713
## 2122    0      NY -19.702475333 20.92862087 -40.33340670 19.2521913688
## 2123    1      NY -19.024850230 19.37062834 -37.20198050 16.9204303071
## 2124    2      NY -21.305089685 20.85405025 -40.49530352 17.1739654643
## 2125    3      NY -16.985272577 17.39631231 -33.33283963 15.3298246485
## 2126    4      NY -13.939595569 14.54007302 -28.23936287 13.0614914757
## 2127    5      NY -11.147340083 14.67544128 -27.84936207 16.2336994058
## 2128    6      NY -19.147295734 21.62775070 -41.25660375 21.3504059303
## 2129    7      NY -18.572749341 18.02984592 -35.24722747 14.6670013789
## 2130    8      NY -21.324331469 19.64205567 -39.84315055 15.4051429500
## 2131    9      NY -21.644121977 19.71028275 -40.51077418 15.3748471389
## 2132   10      NY -12.101098700 11.87199620 -23.74731642  9.8750712014
## 2133   11      NY  -8.414058679  9.90088794 -18.56933878 10.0496297644
## 2134   12      NY  -9.904664882 10.06582906 -19.49108814  8.8044335692
## 2135   13      NY -13.127403353 14.08318241 -26.89954134 13.2206300393
## 2136   14      NY -16.063612545 16.04381977 -31.21502625 13.6412195469
## 2137   15      NY -18.547011776 16.88530531 -34.57390480 13.1639895612
## 2138   16      NY -20.811386941 20.47640322 -39.83542931 17.0415262149
## 2139   17      NY -17.079971641 16.65052307 -32.41251852 13.6658924440
## 2140   18      NY -13.007103760 14.59266489 -27.85760157 14.3040460587
## 2141   19      NY  -8.618049786  7.45167543 -15.90504461  5.3692917157
## 2142   20      NY   1.597010340  7.11919987 -10.56500025 12.3506162218
## 2143   21      NY -18.367436222 16.92937366 -34.01521252 12.9658561004
## 2144   NA      NY -15.328995906 15.70467869 -30.19198775 13.8563024132
## 2145  -44      OH            NA         NaN           NA            NA
## 2146  -43      OH            NA         NaN           NA            NA
## 2147  -42      OH            NA         NaN           NA            NA
## 2148  -41      OH            NA         NaN           NA            NA
## 2149  -40      OH            NA         NaN           NA            NA
## 2150  -39      OH            NA         NaN           NA            NA
## 2151  -38      OH            NA         NaN           NA            NA
## 2152  -37      OH            NA         NaN           NA            NA
## 2153  -36      OH            NA         NaN           NA            NA
## 2154  -35      OH            NA         NaN           NA            NA
## 2155  -34      OH            NA         NaN           NA            NA
## 2156  -33      OH            NA         NaN           NA            NA
## 2157  -32      OH            NA         NaN           NA            NA
## 2158  -31      OH            NA         NaN           NA            NA
## 2159  -30      OH            NA         NaN           NA            NA
## 2160  -29      OH  -2.320790159  2.67991228  -5.16730437  2.7490144254
## 2161  -28      OH  -1.878421400  3.01725193  -5.83701473  3.8809617698
## 2162  -27      OH  -7.703235032  6.36452536 -14.62387356  5.3952719407
## 2163  -26      OH  -5.593012283  4.83207766 -10.76682041  4.2898782193
## 2164  -25      OH  -3.292932566  2.51885574  -6.33905544  2.4962761121
## 2165  -24      OH  -4.338990905  3.34118069  -8.06913649  2.8709538767
## 2166  -23      OH  -3.792257397  2.82379937  -7.17481547  2.6316289318
## 2167  -22      OH  -3.915426560  3.80266568  -7.53738521  3.2677419346
## 2168  -21      OH  -1.508501538  1.56128813  -3.35369236  1.4790584948
## 2169  -20      OH  -0.038413978  2.99576559  -4.87229147  4.8242732998
## 2170  -19      OH   1.514889496  7.26061415 -11.18137892 12.6023577581
## 2171  -18      OH  -0.040329963  3.75539027  -6.36319383  6.3127803647
## 2172  -17      OH   2.781580358  6.17874632  -8.59843438 11.2075800751
## 2173  -16      OH   2.688723348  5.49981952  -7.44853513  9.9705806047
## 2174  -15      OH   5.327292160  6.40878341  -6.31862573 11.6683587267
## 2175  -14      OH   2.108527922  2.21482435  -2.03642582  4.3431832999
## 2176  -13      OH   0.055523593  3.58441367  -6.08667577  6.1473472562
## 2177  -12      OH   0.118905229  2.09375516  -3.36073353  3.4722672658
## 2178  -11      OH   5.192793681  4.22990992  -3.16801451  9.4563129227
## 2179  -10      OH   4.940664396  5.28973609  -4.95919860 10.1074289695
## 2180   -9      OH  -3.769254823  4.79330964  -8.72504335  4.9898879728
## 2181   -8      OH   2.792866179  2.11894255  -1.56994437  5.0859359491
## 2182   -7      OH   1.128908489  4.13507636  -6.20941857  7.4150496165
## 2183   -6      OH   0.847859756  2.71419885  -4.01006067  4.9253086327
## 2184   -5      OH  10.252755344  7.31782587  -7.02721161 19.3101809264
## 2185   -4      OH   4.915068289  5.91451775  -6.27653439 11.3980924942
## 2186   -3      OH  -3.278956960  6.55802293 -11.89092401  8.6380100779
## 2187   -2      OH  -2.821734453  8.50051414 -15.18500987 12.5382006096
## 2188   -1      OH  -0.374100223  2.27854269  -4.07538215  3.6665977952
## 2189    0      OH  -9.915959751 10.64911136 -19.60435074  9.1393730018
## 2190    1      OH -10.420037527 10.13114676 -19.51997787  7.8160026738
## 2191    2      OH  -6.064658719  6.22203823 -12.07695651  5.4851588807
## 2192    3      OH  -6.329912022  7.04756042 -13.20831598  6.6124724680
## 2193    4      OH  -7.783519077 11.63262605 -21.50384308 13.4899227510
## 2194    5      OH -10.932200569 13.08917259 -24.61782007 13.2263362133
## 2195    6      OH  -4.939750314  4.70964491  -9.25238383  3.5020875291
## 2196    7      OH  -7.827514335  6.46035628 -14.25426044  4.8800442152
## 2197    8      OH  -8.051748765  6.22313774 -14.66260078  4.5977715270
## 2198    9      OH   0.335915915  1.98374060  -3.36877053  3.6838630059
## 2199   10      OH   2.588151146  2.03068204  -2.12369688  5.0897572224
## 2200   11      OH  -2.576431983  2.84010918  -5.18068910  2.5302158671
## 2201   12      OH  -7.230373775  7.80490649 -14.59635966  7.0622250407
## 2202   13      OH  -3.941969690  3.87768838  -7.53449635  3.2219279761
## 2203   14      OH -10.460012594  8.96224322 -19.04815846  6.5105972743
## 2204   15      OH  -8.025252034  7.87114486 -15.03343894  6.1791921341
## 2205   16      OH  -3.405663301  2.85839209  -6.20186752  1.9147089686
## 2206   17      OH  -3.642467249  5.20447933  -9.82886908  6.0333743114
## 2207   18      OH  -2.343067566  1.50878032  -4.26683239  1.1977390533
## 2208   19      OH   5.368179753  5.43256749  -4.90110885 10.5606573452
## 2209   20      OH  -6.115983347  4.34476557 -11.13748318  2.3928863036
## 2210   21      OH  -3.700038122  2.20127904  -6.73793736  1.1519149165
## 2211   NA      OH  -5.246105178  5.34412079 -10.18138744  4.5778088545
## 2212  -44      OR            NA         NaN           NA            NA
## 2213  -43      OR            NA         NaN           NA            NA
## 2214  -42      OR            NA         NaN           NA            NA
## 2215  -41      OR            NA         NaN           NA            NA
## 2216  -40      OR            NA         NaN           NA            NA
## 2217  -39      OR            NA         NaN           NA            NA
## 2218  -38      OR            NA         NaN           NA            NA
## 2219  -37      OR            NA         NaN           NA            NA
## 2220  -36      OR            NA         NaN           NA            NA
## 2221  -35      OR            NA         NaN           NA            NA
## 2222  -34      OR            NA         NaN           NA            NA
## 2223  -33      OR            NA         NaN           NA            NA
## 2224  -32      OR            NA         NaN           NA            NA
## 2225  -31      OR            NA         NaN           NA            NA
## 2226  -30      OR            NA         NaN           NA            NA
## 2227  -29      OR            NA         NaN           NA            NA
## 2228  -28      OR  -1.335827675  2.18553381  -5.21737112  3.6864928199
## 2229  -27      OR  -0.548915119  3.19056458  -6.85403727  6.2249727057
## 2230  -26      OR  -4.547638862  3.53609159  -9.94349849  2.8548443893
## 2231  -25      OR  -2.775660920  2.79840135  -7.67060997  2.8529101089
## 2232  -24      OR  -1.307673954  1.39468430  -3.82423576  1.6037457867
## 2233  -23      OR  -4.809534657  3.54120955  -8.82320203  2.4162630011
## 2234  -22      OR  -2.708347770  1.92219411  -5.58310201  1.6486008545
## 2235  -21      OR  -5.778713988  3.49903979 -10.52329956  2.4249144223
## 2236  -20      OR  -4.689137271  2.86950325  -8.29528966  1.1779122248
## 2237  -19      OR  -5.560445027  4.01980421  -9.99953322  2.6061973084
## 2238  -18      OR  -3.531455839  2.68449622  -7.19312097  2.0474579498
## 2239  -17      OR  -3.030197107  1.99843168  -6.07655997  1.2576002246
## 2240  -16      OR  -2.003563284  2.28087333  -5.79169889  3.1830198002
## 2241  -15      OR  -0.068283294  2.57374652  -5.57859497  5.4897778514
## 2242  -14      OR   2.069664807  2.66703702  -2.99262481  5.2391461546
## 2243  -13      OR   2.064628927  2.64831778  -3.11135054  5.8553579045
## 2244  -12      OR  -3.208999675  3.02217648  -8.08026008  3.8485982964
## 2245  -11      OR  -4.800539548  3.94664742  -8.74199948  2.8311369691
## 2246  -10      OR   0.846903073  3.60398626  -5.84322007  6.9458512946
## 2247   -9      OR   3.097963467  3.41144558  -3.46892414  6.9913641582
## 2248   -8      OR  -4.010335941  6.09941408 -10.56278945  7.4542496454
## 2249   -7      OR   3.555600617  1.83166119  -0.53532970  6.2900137006
## 2250   -6      OR   3.605865653  2.26757273  -1.22904605  6.3789345506
## 2251   -5      OR   1.553624610  1.71683463  -2.26068601  4.1219544249
## 2252   -4      OR  10.524139200  8.57722323  -7.86946228 20.8521273488
## 2253   -3      OR  11.334188267  8.28749287  -7.23910606 21.0857463915
## 2254   -2      OR   9.380129046  6.66732564  -3.89740499 16.6001449115
## 2255   -1      OR   6.682562268  3.42446976  -0.54911902 11.8217453932
## 2256    0      OR  -1.427414521  2.38942470  -5.11606825  3.6286860918
## 2257    1      OR  -5.503137533  6.37763495 -11.65122049  6.0991222262
## 2258    2      OR  -9.041789087  8.04121144 -17.08091471  6.3649218981
## 2259    3      OR  -6.868079083  6.24536365 -13.78139827  6.0614410813
## 2260    4      OR  -3.063261619  2.96068658  -6.75210889  3.3605928688
## 2261    5      OR  -0.356589399  3.35611858  -5.58421859  5.4185283257
## 2262    6      OR  -8.865862368  9.75736365 -19.97379870 10.1899627491
## 2263    7      OR  -4.543890517  4.48189120  -8.80419275  3.7242853146
## 2264    8      OR  -5.895433411  5.48381857 -11.83062687  4.6165108155
## 2265    9      OR  -7.077787622  5.85277849 -14.00489295  4.5993099624
## 2266   10      OR  -0.396357300  3.12015485  -6.41909268  5.9035430563
## 2267   11      OR   3.756403380  3.29863661  -3.03154814  8.3855447899
## 2268   12      OR  -0.581560928  1.65878366  -2.90764558  2.5967473941
## 2269   13      OR  -4.536988404  5.19669604 -10.68534604  5.7218221310
## 2270   14      OR  -4.357361262  3.93440770  -8.75184804  3.9336686227
## 2271   15      OR  -3.214067909  2.48088294  -6.86896193  1.9421441723
## 2272   16      OR  -2.978499079  3.20039600  -6.70465531  3.1886694419
## 2273   17      OR  -1.463025315  1.60659069  -3.91021322  2.0939390367
## 2274   18      OR   1.270990224  1.42228720  -1.47259187  3.9253120977
## 2275   19      OR   5.063095422  6.21026894  -6.50721187 11.5197282519
## 2276   20      OR  10.172301265  7.90438114  -7.28213492 19.6689513623
## 2277   21      OR  -3.257261685  3.44123217  -7.18466901  3.2716312300
## 2278   NA      OR  -2.416617125  2.61322789  -5.82137277  3.3000876757
## 2279  -44      PA            NA         NaN           NA            NA
## 2280  -43      PA            NA         NaN           NA            NA
## 2281  -42      PA            NA         NaN           NA            NA
## 2282  -41      PA            NA         NaN           NA            NA
## 2283  -40      PA            NA         NaN           NA            NA
## 2284  -39      PA            NA         NaN           NA            NA
## 2285  -38      PA   4.407659834  5.16350103  -5.00537811  9.3690039836
## 2286  -37      PA   1.682144448  6.26419576  -9.59589847 11.5236578801
## 2287  -36      PA   0.762465272  1.51705125  -2.52798933  3.4800898852
## 2288  -35      PA   1.022039374  0.67259590  -0.37201435  1.8611819953
## 2289  -34      PA   3.015640210  3.38380988  -3.42094732  6.7880986317
## 2290  -33      PA  -0.029179955  1.33534639  -2.47778100  2.4503725080
## 2291  -32      PA   2.102289171  2.32182364  -2.17224650  4.3628554630
## 2292  -31      PA   4.166211948  4.18772169  -3.42002908  8.1508619323
## 2293  -30      PA   1.736501306  4.01755459  -5.63338016  7.2622301160
## 2294  -29      PA   3.395857034  4.70474832  -5.32486521  9.0089905107
## 2295  -28      PA   7.532285556  8.86646996  -8.92051241 16.6831113867
## 2296  -27      PA   5.537430412  7.32960368  -7.98349988 14.0415189485
## 2297  -26      PA   7.172545012  9.24931688  -9.93063168 17.7774886160
## 2298  -25      PA   4.036024908  7.92816216 -10.77785423 15.4024177448
## 2299  -24      PA   8.408588714  9.27824224  -8.70037098 17.5059103323
## 2300  -23      PA   5.938299341  6.54041104  -6.00045378 11.9160936869
## 2301  -22      PA   4.440093404  4.94632008  -4.49881638  9.0104535197
## 2302  -21      PA   1.703686719  4.70484213  -6.81992354  8.4179920212
## 2303  -20      PA  -3.916462223  4.42568852 -10.80023104  5.9096723268
## 2304  -19      PA   0.074459418  9.11924241 -15.49734016 15.5671811105
## 2305  -18      PA  -7.690466916  6.74407232 -14.16905198  4.9557446139
## 2306  -17      PA   1.749291821  2.53443457  -2.92554195  4.9295856210
## 2307  -16      PA  -2.669555062  2.44395200  -5.06407980  2.0047280730
## 2308  -15      PA   4.144928283  6.07099260  -7.27038349 11.3744344199
## 2309  -14      PA   4.392427403  6.12299893  -6.88713745 11.9180575415
## 2310  -13      PA  -0.791038846  2.09945182  -4.58441359  3.6778720885
## 2311  -12      PA  -7.826493394  6.77852268 -15.17792598  6.2086464653
## 2312  -11      PA -10.061356407  9.71494570 -22.61037596 11.0799134336
## 2313  -10      PA  -3.702356675  9.52002828 -17.32764858 13.3532339926
## 2314   -9      PA  -3.615371135  8.95298723 -16.16984392 12.7785983412
## 2315   -8      PA  -4.600337492 11.45700639 -20.53053304 16.2126746437
## 2316   -7      PA  -0.713444275  7.58309694 -12.98896183 12.1713491581
## 2317   -6      PA  -3.163418469  4.65400757  -8.58197300  5.4501593131
## 2318   -5      PA  -9.532188944 10.64630543 -23.10073436 12.1767067692
## 2319   -4      PA -10.941478440 13.66417830 -25.67453616 14.4684973530
## 2320   -3      PA  -2.352431900  7.21232077 -13.01266662 10.4390744570
## 2321   -2      PA  -2.035892576  8.27820508 -14.41744908 12.4018990891
## 2322   -1      PA  -3.779396882  8.79398472 -15.99591871 12.2542820945
## 2323    0      PA  -1.439928016  1.83064751  -3.95577123  2.3055949167
## 2324    1      PA  -2.008277886  1.50803233  -3.65716634  1.0600376207
## 2325    2      PA  -3.900234737  4.96129070  -9.04743752  5.1861691365
## 2326    3      PA  -5.089182336  6.54589043 -11.75736426  6.9836681934
## 2327    4      PA  -1.071774701  6.58947541 -11.31180787 10.1163258023
## 2328    5      PA  -2.708149344  7.06149531 -12.74285598 10.2025921496
## 2329    6      PA  -5.612652969 10.32123714 -18.76163553 13.4947413532
## 2330    7      PA  -3.396674862  7.10264245 -13.61778471  9.7285902782
## 2331    8      PA  -6.298053748  6.65914312 -12.33778280  5.9315348162
## 2332    9      PA  -3.884729536  4.18588361  -9.78297741  5.3310191382
## 2333   10      PA  -6.645484025  9.45907590 -17.78246612 11.2033743358
## 2334   11      PA  -6.038268928  7.41137623 -14.26965269  7.6637105681
## 2335   12      PA   1.455169262  2.83337589  -3.75744411  5.2737470620
## 2336   13      PA   0.141364346  6.33306430 -10.25622568 10.3890106259
## 2337   14      PA   2.046567087  3.12275126  -3.81972854  6.0587041853
## 2338   15      PA  -3.384958099  4.84754919  -8.82120364  5.6460857294
## 2339   16      PA  -9.800221366 10.16994407 -21.19822854  9.9670282066
## 2340   17      PA  -6.952134638  5.99972656 -14.21656418  6.2493152649
## 2341   18      PA  -1.363468358  3.91001764  -6.96802388  5.6181807789
## 2342   19      PA  -6.108888073  7.76584296 -14.39650295  8.3486458495
## 2343   20      PA  -3.297723519  3.82313127  -6.92681094  3.6620314668
## 2344   21      PA  -4.422155207  5.60958690 -10.79520264  5.9573084201
## 2345   NA      PA  -3.626357257  4.58770363  -8.39905567  4.8089272891
## 2346  -44      RI            NA         NaN           NA            NA
## 2347  -43      RI            NA         NaN           NA            NA
## 2348  -42      RI            NA         NaN           NA            NA
## 2349  -41      RI            NA         NaN           NA            NA
## 2350  -40      RI            NA         NaN           NA            NA
## 2351  -39      RI            NA         NaN           NA            NA
## 2352  -38      RI            NA         NaN           NA            NA
## 2353  -37      RI            NA         NaN           NA            NA
## 2354  -36      RI            NA         NaN           NA            NA
## 2355  -35      RI            NA         NaN           NA            NA
## 2356  -34      RI            NA         NaN           NA            NA
## 2357  -33      RI   3.110320436  4.68971709  -5.77290857  8.5500912706
## 2358  -32      RI   0.196886854  6.91585844 -12.31961051 11.4861931072
## 2359  -31      RI  -1.395837029  2.08452734  -5.18103105  3.0647889894
## 2360  -30      RI   1.078011720  2.11915904  -3.26449823  4.5559722856
## 2361  -29      RI   0.550636661  2.17291315  -3.56206852  3.6079464443
## 2362  -28      RI   6.103898301  8.00185090  -8.96488537 14.2202375434
## 2363  -27      RI   1.299913416  1.93889675  -2.64334861  4.2006655241
## 2364  -26      RI   2.739664374  3.57557872  -4.23207315  7.5142355984
## 2365  -25      RI   1.111695312  3.49536743  -5.41901063  5.9060552312
## 2366  -24      RI   2.188076511  4.00154245  -5.43046552  6.9670622379
## 2367  -23      RI   5.664521801  6.98370389  -7.55058136 13.2335012753
## 2368  -22      RI   3.551117027  5.51229363  -6.77942974 10.4613153204
## 2369  -21      RI   4.144295899  6.01890930  -7.32884981 12.1074792072
## 2370  -20      RI   4.919928658  9.04211294 -11.68781100 17.0599363193
## 2371  -19      RI   9.673666072 10.08911035  -8.91555674 19.1857105698
## 2372  -18      RI   5.959940970  5.46717354  -4.09022689 11.1632485837
## 2373  -17      RI   0.374075655  1.08817301  -1.86003784  2.3081860175
## 2374  -16      RI   0.658473767  0.85050243  -0.93926611  1.6602182375
## 2375  -15      RI   1.712331161  3.50048707  -5.14459201  7.1069484145
## 2376  -14      RI  -0.523688594  7.46927269 -12.83869208 12.4025079563
## 2377  -13      RI  -9.380673936  7.42942412 -19.10088424  7.1326789989
## 2378  -12      RI   0.763624824  0.98735483  -1.07032200  2.6077467037
## 2379  -11      RI  -3.968021084  5.48757133  -9.64360840  6.4419300904
## 2380  -10      RI   4.197703583  7.41904278  -9.46845484 14.7150666546
## 2381   -9      RI  -2.471025527  4.39824944  -7.68871461  5.9479608847
## 2382   -8      RI   0.803717732  3.03205478  -4.76065812  6.3451786682
## 2383   -7      RI  -7.715066438  7.28517731 -16.39529666  6.8044892458
## 2384   -6      RI -13.056475127 11.23117045 -25.91550381  9.5946724096
## 2385   -5      RI  -4.645629595 11.62295267 -20.69875937 16.3452657730
## 2386   -4      RI  -5.552112882 11.24908302 -20.35524860 15.0813715043
## 2387   -3      RI  -7.402193344 14.47880701 -26.63360947 18.9835064564
## 2388   -2      RI  -2.184037497 10.30562780 -17.61570018 15.7451217606
## 2389   -1      RI  -2.507739680  4.47861400  -8.19314998  5.7458706001
## 2390    0      RI  -6.582753332  5.20333733 -12.79742473  4.8238834204
## 2391    1      RI -18.849562137 19.70255682 -37.37822284 17.3223103906
## 2392    2      RI  -4.764901982 10.46960746 -18.89029611 14.2192757885
## 2393    3      RI  -5.362365147 12.36683958 -22.32365961 17.0736670163
## 2394    4      RI  -9.338885575 14.94564195 -27.59871610 18.3504939924
## 2395    5      RI  -4.000039070  6.32354619 -11.71138130  7.9152191049
## 2396    6      RI  -5.724044503  5.38818584 -12.05825268  4.9030935400
## 2397    7      RI  -9.257115454  9.99621462 -18.79515383  9.1720174140
## 2398    8      RI  -9.766864883 11.45682636 -20.99719743 11.5743403852
## 2399    9      RI  -4.706413169 10.84671821 -19.42600464 14.9445374008
## 2400   10      RI  -5.829434586 10.36814051 -19.03210460 13.2597045625
## 2401   11      RI  -9.999116709 14.94159196 -27.54431412 17.8058741437
## 2402   12      RI  -7.623885606 12.57612969 -22.96764870 15.7068414656
## 2403   13      RI  -5.278825553  6.63936481 -11.99634890  7.1802740769
## 2404   14      RI  -7.024701728  4.66791423 -13.03303596  3.8899013030
## 2405   15      RI -10.394123190  9.39472217 -20.36745268  7.8341795493
## 2406   16      RI -11.161956325 13.19364929 -24.73059684 13.2671895208
## 2407   17      RI  -1.788641082  5.77387567 -10.45688269  8.4070756834
## 2408   18      RI  -3.018121102  9.74130750 -17.15183305 13.9938339563
## 2409   19      RI   2.169238171  4.25030590  -6.23485290  8.8816674211
## 2410   20      RI  -3.937978056  5.36569274  -9.83030539  6.1364508223
## 2411   21      RI -21.091048648 19.50875016 -39.50452475 14.8910027392
## 2412   NA      RI  -7.424160894  9.30632294 -17.13103725  9.9526195569
## 2413  -44      SC  -1.231575053  7.72470104 -13.06162669 11.7783130939
## 2414  -43      SC   1.389609406  5.77295801  -8.60717098 10.0551645933
## 2415  -42      SC   0.848633293  9.55424836 -14.90193300 15.7862218340
## 2416  -41      SC   4.942649995  4.75227164  -3.82977303  9.2578155640
## 2417  -40      SC   1.181867577  5.78834105  -8.73565220  9.9671743166
## 2418  -39      SC  -0.010995690  4.82707554  -7.68961142  7.6781553400
## 2419  -38      SC  -1.447447631  3.03638883  -5.54709412  4.0388380805
## 2420  -37      SC  -0.564845127  3.57175572  -6.03686180  5.4482888873
## 2421  -36      SC  -3.188658897  3.44207115  -6.34934904  3.0267292792
## 2422  -35      SC  -2.501696956  3.80404880  -7.08706884  4.4802722407
## 2423  -34      SC  -3.361552119  2.39138902  -6.12591227  2.0943473064
## 2424  -33      SC   0.753276057  2.95860988  -4.36478816  5.1497113621
## 2425  -32      SC   0.944255051  3.40686408  -4.98244178  5.9663672711
## 2426  -31      SC   3.750638298  3.36830264  -2.53179434  6.8349600981
## 2427  -30      SC   2.867863731  6.00432595  -7.98240732 10.9707548017
## 2428  -29      SC   2.350179473  5.45426582  -7.43769707  9.8866111157
## 2429  -28      SC  -0.779336431  3.39728449  -5.89682371  5.0847454909
## 2430  -27      SC   3.066385246 12.28983212 -18.16586112 21.3610693951
## 2431  -26      SC   3.675454111 10.35897773 -14.65909081 18.4889536654
## 2432  -25      SC   7.080637300 13.19032472 -16.92570812 24.3038119159
## 2433  -24      SC  -0.886144287  6.99825779 -11.73096210 10.8075864600
## 2434  -23      SC  -3.339984034  7.19663476 -13.23129594  9.7509909054
## 2435  -22      SC  -2.329901143  3.97158382  -7.43599115  5.0082041809
## 2436  -21      SC  -3.328833479  4.58367742  -8.67032347  5.2016367296
## 2437  -20      SC   4.837961119 12.91435210 -18.10850855 23.1497174884
## 2438  -19      SC   0.272618469  4.78217855  -7.50758720  7.7916552261
## 2439  -18      SC   1.880007403  2.13402020  -2.06224166  4.0212321264
## 2440  -17      SC  -7.553408240  8.25285848 -15.24743040  7.3766888012
## 2441  -16      SC  -3.935234339  4.00186026  -7.57551583  3.2090584618
## 2442  -15      SC  -4.788079104  4.84907627  -9.21728361  3.8613946702
## 2443  -14      SC  -4.362361351  3.31872545  -7.94973128  2.7178781594
## 2444  -13      SC   2.785500291  1.99380545  -1.73544823  5.0761455463
## 2445  -12      SC   3.122984611  3.43120375  -3.19291279  6.4471002443
## 2446  -11      SC   2.679518775  2.02985789  -1.66942121  4.8830118329
## 2447  -10      SC  -3.836793046  6.62839944 -12.27183487  8.2738527256
## 2448   -9      SC   4.405024263  4.89047303  -4.60819552  9.1982840309
## 2449   -8      SC  -2.164725490  4.90520419  -8.90807822  6.6524105038
## 2450   -7      SC  -3.340366327  3.24183340  -6.25666401  2.5473298105
## 2451   -6      SC   3.465267175  5.16906911  -6.02571796  9.6365669349
## 2452   -5      SC   3.819698048  2.80201827  -2.37978519  6.9608123816
## 2453   -4      SC   1.268270009  5.33846824  -7.96796280  9.2895170918
## 2454   -3      SC  -4.605152843  6.10781574 -11.40738048  6.6087571594
## 2455   -2      SC  -0.760574847  2.06525929  -3.69705463  2.9045277297
## 2456   -1      SC  -3.070633263  4.02506372  -7.51688864  4.3172541084
## 2457    0      SC  -7.176043804  7.15896357 -13.76519551  5.5984845340
## 2458    1      SC  -0.898118651  1.95719952  -3.56516677  2.6293173456
## 2459    2      SC  -6.255348109  6.91442806 -12.79230368  6.2741571971
## 2460    3      SC  -1.157417916  4.31189309  -7.53367904  6.3276357581
## 2461    4      SC  -9.024501783  6.43364265 -16.44576143  5.6225240600
## 2462    5      SC  -6.005769259  5.35837475 -10.94459018  4.0540780206
## 2463    6      SC   4.859737732  4.09262421  -3.03407586  8.8561223185
## 2464    7      SC  -5.242838775  4.97473085  -9.82008474  3.9070307696
## 2465    8      SC   0.166956072  9.32666789 -14.78243558 14.9564035181
## 2466    9      SC  -0.566875212  0.42693945  -1.03304457  0.3531803532
## 2467   10      SC  -3.062310544  4.76156803  -8.86316875  5.6722062408
## 2468   11      SC -10.899887326 10.78369098 -20.70528655  8.4986119504
## 2469   12      SC  -6.061186042  4.25907536 -11.04557751  3.7762944995
## 2470   13      SC   2.662077882  1.90588185  -1.65855251  4.8512267773
## 2471   14      SC   6.740323871  5.83129045  -4.30555427 12.6249394658
## 2472   15      SC  -9.036288100  6.64642675 -16.46723966  5.6298686050
## 2473   16      SC   0.800951082  0.77514711  -0.60576857  1.5002196524
## 2474   17      SC  -7.317574981  5.25545453 -13.33515040  4.5590608840
## 2475   18      SC -10.050643119  7.35876861 -18.31574536  6.2618429131
## 2476   19      SC   1.464639816  3.71436688  -5.15934341  6.6855156575
## 2477   20      SC  10.791755355  8.19165869  -6.72357609 19.6663068289
## 2478   21      SC  -6.800273613  4.77977600 -12.39244882  4.2367680244
## 2479   NA      SC  -2.821301610  2.16201997  -5.14138730  1.7577530143
## 2480  -44      TN            NA         NaN           NA            NA
## 2481  -43      TN            NA         NaN           NA            NA
## 2482  -42      TN            NA         NaN           NA            NA
## 2483  -41      TN            NA         NaN           NA            NA
## 2484  -40      TN            NA         NaN           NA            NA
## 2485  -39      TN            NA         NaN           NA            NA
## 2486  -38      TN            NA         NaN           NA            NA
## 2487  -37      TN  -1.402603984  3.84306787  -7.15172802  5.4498921732
## 2488  -36      TN   1.227786992  2.69171748  -3.83248466  5.6632665878
## 2489  -35      TN  -2.359888012  7.46095219 -12.79797129 11.5293845872
## 2490  -34      TN  -1.715508487  4.71164704  -8.23502987  6.8274295744
## 2491  -33      TN  -2.889944592  5.51883424 -10.22080791  7.2919814016
## 2492  -32      TN  -2.307259246  4.21233563  -8.27030520  5.6261542049
## 2493  -31      TN  -3.021713171  3.56082080  -6.79644534  3.6477852120
## 2494  -30      TN  -3.286205986  4.38681229  -8.29640854  4.8927981507
## 2495  -29      TN  -4.624691893  3.96242636  -8.62483664  3.0048776398
## 2496  -28      TN  -0.152677760  0.86299818  -1.84137092  1.6664017266
## 2497  -27      TN   1.840799934  3.09805331  -4.03500599  5.6742502128
## 2498  -26      TN   1.170865290  2.42112567  -3.72915709  4.8883249350
## 2499  -25      TN   3.137879155  4.49368615  -5.46159726  8.4309055025
## 2500  -24      TN   2.906198180  3.84325881  -4.78869893  8.4308311044
## 2501  -23      TN   5.369630091  6.58782208  -7.02397669 12.0607980976
## 2502  -22      TN   0.426611971  1.95304271  -3.13407040  3.3145439047
## 2503  -21      TN  -0.768045369  1.27652623  -2.76002396  1.8005177401
## 2504  -20      TN  -4.338829902  3.50350839  -9.12450508  3.7020399878
## 2505  -19      TN  -0.424670091  7.17592203 -14.07067101 11.7869606913
## 2506  -18      TN   4.109465853 10.06357060 -15.36115395 16.7823925708
## 2507  -17      TN  -2.845567697  4.20988912 -10.11569312  6.7085885228
## 2508  -16      TN   1.097328425  5.20688113  -8.26486849  9.4653588050
## 2509  -15      TN   1.766967235  3.82545833  -5.24660017  6.9959153272
## 2510  -14      TN   4.238195683  4.94133599  -6.98307116 11.9311313995
## 2511  -13      TN   7.455604971 11.93598662 -14.98511978 22.1334768925
## 2512  -12      TN   1.235467766  3.49900161  -6.02796530  7.4438272716
## 2513  -11      TN   4.938691032  4.34865981  -3.85434054 10.3029640073
## 2514  -10      TN  -3.221994612  4.85248799 -10.78303576  7.0905786948
## 2515   -9      TN  -0.689971035  3.41198470  -5.98424338  5.3011645083
## 2516   -8      TN  -5.446070483  7.95190730 -14.38740983  9.5618271321
## 2517   -7      TN  -0.785812131  3.79326831  -7.34677619  6.4063834355
## 2518   -6      TN   2.606710961  2.34721321  -2.57829608  5.4275247308
## 2519   -5      TN   1.482006984  1.77913328  -2.30551554  4.2123453889
## 2520   -4      TN   0.313842977  3.33172799  -6.37537476  6.7028110066
## 2521   -3      TN  -3.868080365  7.76290241 -14.48153913 10.8532522427
## 2522   -2      TN   2.079057393  3.14238822  -5.15254645  7.4243602317
## 2523   -1      TN  -3.253576076  6.75731329 -12.22267199  9.6783630492
## 2524    0      TN  -2.082033085  4.30650461  -7.81731404  5.8621108977
## 2525    1      TN   1.315876636  3.52752165  -5.44957374  6.9575857253
## 2526    2      TN  -1.038304979  1.99424489  -4.35264406  2.9951168182
## 2527    3      TN  -0.584144306  4.02072505  -7.13359527  6.7960809643
## 2528    4      TN  -4.409581871  6.16921227 -10.94978519  7.2702973121
## 2529    5      TN  -0.618751687  3.42306539  -6.28076461  5.6681955843
## 2530    6      TN  -2.457748285  4.96169449  -8.48181280  7.0706351104
## 2531    7      TN  -6.944080769  9.20319315 -16.65095437 10.3333229325
## 2532    8      TN  -1.382655736  3.24409735  -6.54031587  5.1714734294
## 2533    9      TN  -5.222693592  5.70360640 -10.51661765  5.4603952514
## 2534   10      TN  -1.366628377  3.12689913  -7.53358803  5.9674113690
## 2535   11      TN -10.737857782  8.12871285 -22.39687946  6.7634537062
## 2536   12      TN   0.063824757  0.77326018  -1.43377063  1.2001758801
## 2537   13      TN   2.389162343  1.41459677  -0.71973499  4.3507698783
## 2538   14      TN  -0.557449873  2.92315354  -5.53963729  4.6568643329
## 2539   15      TN   1.621035939  5.10065295  -9.06743844 10.9251732293
## 2540   16      TN   0.473943861  0.87747425  -1.44037787  1.9588778917
## 2541   17      TN  -1.608266678  3.75992661  -7.94394554  6.1008493834
## 2542   18      TN  -8.592928003  8.47405771 -17.12946791  7.2483842377
## 2543   19      TN   1.167367846  2.01037297  -3.11095737  4.5701865145
## 2544   20      TN   0.909022420  0.91326461  -1.18061899  2.5264272128
## 2545   21      TN   2.441685788  2.56938708  -2.34484289  5.3768027936
## 2546   NA      TN  -1.691872974  2.47344348  -4.27331644  3.0151533560
## 2547  -44      TX            NA         NaN           NA            NA
## 2548  -43      TX            NA         NaN           NA            NA
## 2549  -42      TX            NA         NaN           NA            NA
## 2550  -41      TX            NA         NaN           NA            NA
## 2551  -40      TX            NA         NaN           NA            NA
## 2552  -39      TX            NA         NaN           NA            NA
## 2553  -38      TX   0.883700248  3.68700994  -5.60928285  6.3650389942
## 2554  -37      TX   1.906880428  3.69089071  -5.22783398  7.7106306802
## 2555  -36      TX   1.456833565  5.82760072  -8.81384038 10.6838898143
## 2556  -35      TX  -0.276847544  4.65141602  -7.58562440  7.3652130740
## 2557  -34      TX  -1.318601053  5.03131076  -9.11910908  7.5394031145
## 2558  -33      TX  -3.169805841  5.37010175 -10.71456487  6.9675060084
## 2559  -32      TX  -1.525697301  2.61403103  -4.88234458  3.2965793544
## 2560  -31      TX   0.773566771  1.72913519  -2.36760395  3.2741444195
## 2561  -30      TX  -1.268419638  1.10763501  -2.88649785  1.3669096259
## 2562  -29      TX  -1.287282365  1.82052688  -4.16907856  2.6268905695
## 2563  -28      TX   3.513179943  5.29975160  -6.59795491  9.7435772863
## 2564  -27      TX   6.239343231  7.98691580  -8.90003681 14.7525933050
## 2565  -26      TX   7.201259268  9.20998810 -10.25652167 17.0113653334
## 2566  -25      TX   4.763976729  6.30731259  -7.22892322 12.7435113021
## 2567  -24      TX  10.687397113 12.42195794 -12.58403675 23.2155005928
## 2568  -23      TX  11.710673847 13.08750573 -12.66940076 24.8202175145
## 2569  -22      TX  11.638344447 13.11230082 -12.77686981 24.8224786432
## 2570  -21      TX   7.310851145 12.43620210 -15.87015552 23.0125702203
## 2571  -20      TX   4.197732684  9.16071743 -13.08121204 16.3493997523
## 2572  -19      TX   5.649388675 12.29059758 -18.03937710 22.8167128131
## 2573  -18      TX  -2.976703088  5.86777384 -13.57117079  9.9802855803
## 2574  -17      TX  -0.278581915  5.26369035  -8.60673783  8.3164515633
## 2575  -16      TX  -0.597961078  2.66320375  -4.56259083  3.9466655052
## 2576  -15      TX   1.880994303  4.31682777  -6.98928757  9.2427519587
## 2577  -14      TX  -0.272194101  5.15388418  -8.69092329  8.4072948654
## 2578  -13      TX  -5.235931409  4.29417605 -10.88437103  4.0677849592
## 2579  -12      TX  -8.741456491  9.22769819 -18.85732707  8.8317116901
## 2580  -11      TX -10.620921168  9.59609854 -20.56326581  8.2430880969
## 2581  -10      TX  -0.402627009  3.73965936  -6.41622868  6.0592827018
## 2582   -9      TX  -0.013023203  2.90104876  -4.80537168  4.9325211329
## 2583   -8      TX  -4.150229797  6.57229816 -13.41111145  8.1702633253
## 2584   -7      TX  -4.038711567  8.19339170 -15.20119834 11.6206395012
## 2585   -6      TX  -4.680358827  7.79772454 -14.29413609 10.0629575464
## 2586   -5      TX  -9.022543758  8.65261432 -18.06033394  7.3811033124
## 2587   -4      TX -11.387476303 12.98415654 -24.67667161 12.8421671504
## 2588   -3      TX  -2.830111141  8.68510419 -16.18681242 13.6778719398
## 2589   -2      TX  -2.466720206  6.87392125 -12.87623615 10.6918386424
## 2590   -1      TX  -3.251917592  5.60664662 -10.61606294  7.2498008772
## 2591    0      TX  -4.278343536  3.62468761  -8.45850432  2.7502048599
## 2592    1      TX  -5.721244545  6.76836679 -13.87194993  7.2768214353
## 2593    2      TX  -9.730828923 12.79897744 -24.22716635 14.2156871707
## 2594    3      TX -10.582108198 11.68170706 -22.03035190 11.2005257201
## 2595    4      TX  -3.528919956  6.67719236 -12.34202724  9.2145655427
## 2596    5      TX  -3.300200659  5.75174610 -10.53871023  7.7309345047
## 2597    6      TX  -5.166102577  7.16604204 -13.61969244  8.3844034645
## 2598    7      TX  -5.882457125  8.24437151 -15.35164697  9.7933860812
## 2599    8      TX  -8.678314073  9.18646325 -17.42124337  8.3492324044
## 2600    9      TX  -9.608667679  9.56441696 -20.93955961  9.5602526604
## 2601   10      TX  -9.132803772  5.43667490 -16.60467477  2.2291976428
## 2602   11      TX  -1.132077445  1.72610672  -3.69566666  2.2216788174
## 2603   12      TX   0.499759626  2.08172558  -3.66937456  4.2590518215
## 2604   13      TX  -2.444663734  4.18244308  -9.72798008  6.5449838790
## 2605   14      TX  -2.808304358  4.17235566  -8.40416457  4.8335773823
## 2606   15      TX  -4.654638573  4.82234472  -9.37976446  4.4959224040
## 2607   16      TX -10.078671027 10.29068954 -20.56560202  9.1786027657
## 2608   17      TX -12.464734886 11.16597079 -23.34703279  8.6207190693
## 2609   18      TX  -2.117445377  2.38007501  -6.07819420  3.3400445295
## 2610   19      TX  -2.014004347  3.59931362  -6.64546557  4.9056396310
## 2611   20      TX  -1.054711745  6.15684702 -10.40268341  9.4681514260
## 2612   21      TX  -4.261476044  3.48825781  -9.11983288  3.5713099945
## 2613   NA      TX  -5.370043589  5.70450341 -10.87084290  5.2279334764
## 2614  -44      VA            NA         NaN           NA            NA
## 2615  -43      VA            NA         NaN           NA            NA
## 2616  -42      VA            NA         NaN           NA            NA
## 2617  -41      VA            NA         NaN           NA            NA
## 2618  -40      VA            NA         NaN           NA            NA
## 2619  -39      VA            NA         NaN           NA            NA
## 2620  -38      VA            NA         NaN           NA            NA
## 2621  -37      VA            NA         NaN           NA            NA
## 2622  -36      VA            NA         NaN           NA            NA
## 2623  -35      VA   0.432160161  0.90821057  -1.24942906  1.6547967547
## 2624  -34      VA  -0.415549986  3.63693465  -6.60835132  6.2617768110
## 2625  -33      VA  -1.357072204  3.80466563  -7.15567296  5.8827282516
## 2626  -32      VA   1.541846254  0.91092698  -0.42458931  2.8077730265
## 2627  -31      VA   0.856173060  0.80005306  -1.05708250  2.0827921401
## 2628  -30      VA  -1.873815533  1.98137170  -4.63542824  2.3905640429
## 2629  -29      VA   1.389442834  1.41579778  -1.55296089  3.2175379752
## 2630  -28      VA   2.292237622  2.11219378  -2.03607567  4.7822157723
## 2631  -27      VA   0.943160526  2.66056474  -4.02985062  4.9145397715
## 2632  -26      VA   1.758988678  2.45744550  -2.88196334  4.8977915699
## 2633  -25      VA   6.316942366  6.89022881  -6.50430956 13.3674636748
## 2634  -24      VA   5.296548724  6.18463381  -6.37941419 12.3822832529
## 2635  -23      VA   5.237293862  6.40185529  -6.84788974 12.8499073546
## 2636  -22      VA   2.131346834  5.05598630  -7.83094481 10.3843345055
## 2637  -21      VA   7.352317949  7.46521992  -6.57074779 14.6142817681
## 2638  -20      VA   5.395794327  5.53640935  -4.77450111 10.6677550392
## 2639  -19      VA   2.661743325  2.87735837  -2.71338915  5.7637882791
## 2640  -18      VA   2.641622612  6.00009184  -8.06470184 10.9527544014
## 2641  -17      VA  -3.979282704  5.31735102 -11.76300066  6.9957495424
## 2642  -16      VA   2.038374058  9.53271749 -15.39178178 17.3037915019
## 2643  -15      VA  -9.492533303  6.55834190 -17.46955383  5.6037133032
## 2644  -14      VA  -1.528673502  1.45740100  -3.80648218  1.9751041469
## 2645  -13      VA  -2.331137051  2.28253719  -5.02601266  2.2332717576
## 2646  -12      VA   2.025395004  6.38392923  -9.77974402 11.4689371738
## 2647  -11      VA   2.830250190  5.09593286  -6.89023837 10.2809253445
## 2648  -10      VA  -0.032331109  2.17588516  -3.60725103  3.5685152526
## 2649   -9      VA  -4.489672827  4.04919653  -9.62158523  4.2428824283
## 2650   -8      VA  -6.666817669  7.65055397 -17.88705826  9.9000975450
## 2651   -7      VA  -3.082367320  8.52487359 -15.57355232 12.2786054437
## 2652   -6      VA  -2.216635867  7.60883907 -13.85678115 11.7775611725
## 2653   -5      VA  -5.256526735 11.64807181 -21.36355305 16.4328896763
## 2654   -4      VA  -1.053484764  7.31446498 -12.99774798 11.7356556092
## 2655   -3      VA  -3.572303349  5.19496265  -9.59075081  6.2265195808
## 2656   -2      VA  -1.281024002  5.01671049 -10.16926754  8.6345783676
## 2657   -1      VA  -4.512410459  8.56380644 -15.65642663 11.1891007097
## 2658    0      VA  -1.060195521  5.86233268 -10.45633756  9.1862029631
## 2659    1      VA  -4.902936133 10.31450865 -19.15042066 14.0432632413
## 2660    2      VA  -6.733622582 11.16160931 -20.90147585 14.1357040616
## 2661    3      VA  -3.427229473  3.05004641  -8.03562181  3.9297442247
## 2662    4      VA  -3.174076636  2.15637412  -5.78014004  1.5909304872
## 2663    5      VA  -3.363826458  4.93622908  -9.11526669  5.9599724991
## 2664    6      VA  -6.372230781  8.17019814 -15.02847033  9.0512681126
## 2665    7      VA  -2.903029643  7.75239899 -14.21775371 11.0997078373
## 2666    8      VA  -4.318452226  8.49063142 -15.72189919 11.6711568526
## 2667    9      VA  -5.954797920 10.53159786 -19.55739230 13.9717438109
## 2668   10      VA  -2.776008134  6.23545061 -12.38877621  9.0630725394
## 2669   11      VA  -5.511104972  5.97046173 -11.52945842  5.5581808874
## 2670   12      VA  -2.469203279  3.58737864  -8.04971261  5.0915654540
## 2671   13      VA  -6.002007262  8.23150881 -15.95615505  9.3836730078
## 2672   14      VA  -8.522552301  9.68160127 -18.76070073  9.8793048491
## 2673   15      VA  -0.546355929  4.08012027  -6.97448697  6.3483552079
## 2674   16      VA  -2.264852842  7.78271474 -14.02438942 11.4791719251
## 2675   17      VA   1.113588355  3.25637827  -5.06346350  5.9922066877
## 2676   18      VA  -1.869498538  3.84070616  -7.21825070  5.4646481097
## 2677   19      VA  -8.361656483  9.55932189 -19.67969819  9.6622974292
## 2678   20      VA  -7.447021731  6.92513975 -15.59604656  6.6743893347
## 2679   21      VA  -4.523596367  6.85325118 -12.85002037  8.3462612597
## 2680   NA      VA  -4.154121221  5.77322468 -10.66235989  6.7653591023
## 2681  -44      VT            NA         NaN           NA            NA
## 2682  -43      VT            NA         NaN           NA            NA
## 2683  -42      VT            NA         NaN           NA            NA
## 2684  -41      VT            NA         NaN           NA            NA
## 2685  -40      VT            NA         NaN           NA            NA
## 2686  -39      VT            NA         NaN           NA            NA
## 2687  -38      VT            NA         NaN           NA            NA
## 2688  -37      VT            NA         NaN           NA            NA
## 2689  -36      VT            NA         NaN           NA            NA
## 2690  -35      VT            NA         NaN           NA            NA
## 2691  -34      VT            NA         NaN           NA            NA
## 2692  -33      VT            NA         NaN           NA            NA
## 2693  -32      VT            NA         NaN           NA            NA
## 2694  -31      VT   8.687708156 11.40470895 -12.86533549 21.4699315758
## 2695  -30      VT   6.421043632 12.55251606 -17.93260849 21.9406889751
## 2696  -29      VT   2.673013017  5.52124025  -8.08229287 11.2846050383
## 2697  -28      VT  -0.854619599  2.52600729  -5.09685708  4.2063312671
## 2698  -27      VT   3.160547854  5.57467915  -7.40723352 10.3706941822
## 2699  -26      VT  -0.489191640  2.69679421  -5.37238759  3.9934527081
## 2700  -25      VT   7.521471018  8.89418850  -9.18296068 16.9143456863
## 2701  -24      VT   1.545900900  4.16667247  -6.63439537  8.4864087100
## 2702  -23      VT   3.311495588  5.32205679  -6.96553470  9.1574681732
## 2703  -22      VT  -3.033607919  1.52225491  -5.36658431  0.3684974675
## 2704  -21      VT   5.160152132  6.15696083  -6.92986804 12.5751453399
## 2705  -20      VT   4.290619709  5.34089678  -6.12501177 10.6168778646
## 2706  -19      VT   5.672325545  6.06690218  -6.80210890 13.4665311492
## 2707  -18      VT   2.323407643  4.62583399  -7.07116895  9.7368503013
## 2708  -17      VT   3.305398682  3.24954701  -3.13419793  6.9222335959
## 2709  -16      VT  -1.070153735  2.25067282  -4.04971072  3.1677834330
## 2710  -15      VT   1.001534191  2.47984811  -3.80961381  4.9828695859
## 2711  -14      VT   0.312459044  0.67077596  -0.96225370  1.5017375863
## 2712  -13      VT   2.711278676  2.97515747  -3.74595142  7.2760876289
## 2713  -12      VT   8.304738245 10.55146591 -11.98481744 22.5893453236
## 2714  -11      VT  -4.282017860  4.99210469 -12.18376584  7.0538379224
## 2715  -10      VT  -2.075790109  4.45014425  -7.66666736  6.5637617386
## 2716   -9      VT  -4.189071321  6.97582374 -12.47939773  9.2454714521
## 2717   -8      VT  -0.684587240  8.17702109 -13.53562606 14.4507131525
## 2718   -7      VT   2.590324415  1.65390864  -0.84866159  4.8627499518
## 2719   -6      VT  -5.798126453  9.76136220 -16.87591142 12.9833053534
## 2720   -5      VT  -6.609679414  8.43439777 -16.87847136  9.6141951883
## 2721   -4      VT -12.100282633 12.86277562 -26.05704463 12.4230871073
## 2722   -3      VT -11.124246367 15.60127154 -28.82043232 18.3857945655
## 2723   -2      VT  -8.257672056 12.24950039 -22.75035171 15.0092150248
## 2724   -1      VT  -8.424372099 12.92261375 -24.09708523 15.8855361942
## 2725    0      VT -10.229439571 15.27352709 -28.32129700 18.7259995485
## 2726    1      VT -11.936561445 13.14198756 -24.36611280 12.4993646721
## 2727    2      VT  -8.550816230  8.38280888 -17.52674859  7.7273826402
## 2728    3      VT -14.284250131 16.44584760 -30.81288993 16.5381739575
## 2729    4      VT -11.751939794 15.23435426 -28.55931022 16.9417490512
## 2730    5      VT  -9.635121955 14.33090993 -27.00791053 17.5017877323
## 2731    6      VT -10.658343149 14.73785206 -27.83289972 17.2334959044
## 2732    7      VT  -4.559887240  8.16662994 -15.36851198 10.8516959559
## 2733    8      VT  -9.921023343 11.00923321 -21.67423769 10.8205097311
## 2734    9      VT  -4.356488198  5.71096963 -10.49202275  6.4809781864
## 2735   10      VT  -9.434196351 11.94283190 -21.94888573 13.1837725291
## 2736   11      VT -11.320742700 15.18093990 -28.26042416 17.3418731533
## 2737   12      VT  -8.368549462 11.53124089 -21.89571209 13.4241534940
## 2738   13      VT  -9.031766098 12.89321912 -23.96021780 15.4883467280
## 2739   14      VT  -8.370476324 12.12104689 -22.52619833 14.6746229866
## 2740   15      VT -13.633236641 15.33165934 -28.30138774 15.0417060579
## 2741   16      VT  -4.510639527  3.02450646  -8.54412454  2.6712731084
## 2742   17      VT  -5.235558831  6.01121699 -13.32397377  7.0518078541
## 2743   18      VT  -9.871072156 11.43993168 -21.53933014 11.5435019040
## 2744   19      VT  -2.963446890  5.37203635 -10.79170398  7.1885733523
## 2745   20      VT  -2.849300972  7.01302603 -13.04106442  9.9527932011
## 2746   21      VT   0.994257898  4.51460518  -7.81994568  9.3600034523
## 2747   NA      VT  -8.203572687 10.41126140 -18.95349731 11.5309412255
## 2748  -44      WA            NA         NaN           NA            NA
## 2749  -43      WA            NA         NaN           NA            NA
## 2750  -42      WA            NA         NaN           NA            NA
## 2751  -41      WA            NA         NaN           NA            NA
## 2752  -40      WA            NA         NaN           NA            NA
## 2753  -39      WA            NA         NaN           NA            NA
## 2754  -38      WA            NA         NaN           NA            NA
## 2755  -37      WA            NA         NaN           NA            NA
## 2756  -36      WA            NA         NaN           NA            NA
## 2757  -35      WA            NA         NaN           NA            NA
## 2758  -34      WA            NA         NaN           NA            NA
## 2759  -33      WA            NA         NaN           NA            NA
## 2760  -32      WA            NA         NaN           NA            NA
## 2761  -31      WA            NA         NaN           NA            NA
## 2762  -30      WA            NA         NaN           NA            NA
## 2763  -29      WA            NA         NaN           NA            NA
## 2764  -28      WA  -1.260366402  5.28886290 -10.37255069  8.8626073662
## 2765  -27      WA  -0.466961272  7.94241931 -14.09094307 13.5315115454
## 2766  -26      WA  -3.411906956  4.97278364 -10.51941602  6.4318893183
## 2767  -25      WA  -1.449221620  4.82102242  -9.09062582  7.3544304040
## 2768  -24      WA   0.623124891  5.37446338  -8.69155483  9.2760492168
## 2769  -23      WA  -0.809693605  4.23286172  -7.78853554  6.8185058602
## 2770  -22      WA   2.503956831  6.25832188  -9.15414333 11.5028749877
## 2771  -21      WA  -4.105590359  3.40592400  -8.76299444  3.8444248958
## 2772  -20      WA  -2.672395320  1.54608897  -4.86655011  0.7611191317
## 2773  -19      WA  -3.841079603  2.15831491  -6.99477851  0.3656183654
## 2774  -18      WA  -0.994856489  2.88017255  -5.63257263  4.3902784582
## 2775  -17      WA  -1.346679333  2.29920170  -5.37762242  3.6960009295
## 2776  -16      WA  -0.050951695  3.82271873  -6.98093409  6.9173117130
## 2777  -15      WA   0.988692069  2.12549919  -3.16457169  4.3490425353
## 2778  -14      WA   1.049318204  1.31766111  -1.66738795  2.9244899495
## 2779  -13      WA  -0.097255329  2.52319316  -4.10575412  4.0145274462
## 2780  -12      WA  -7.723041142  5.33281441 -14.06400807  3.1428696967
## 2781  -11      WA  -4.326883765  3.89615737  -8.48990539  3.0812280736
## 2782  -10      WA  -0.262781575  3.51738405  -6.28181777  5.9670032859
## 2783   -9      WA   5.411192945  3.58871885  -2.72339357  9.8540252333
## 2784   -8      WA  -0.567223863  5.88791170  -9.86392562  9.3318670525
## 2785   -7      WA   2.125515953  2.70777777  -3.88330493  6.4297123407
## 2786   -6      WA   0.564730863  4.92447684  -8.72706117  9.4036212650
## 2787   -5      WA  -1.318354517  5.77271191 -10.47616020  9.2395316963
## 2788   -4      WA   6.146875812  3.61548669  -1.68651784 11.1937361850
## 2789   -3      WA   7.567511207  4.45448381  -2.17282230 13.7807780420
## 2790   -2      WA   5.262131785  3.66535308  -2.51898618  9.5825811064
## 2791   -1      WA   2.462192284  4.39536420  -7.09116287 10.0409133549
## 2792    0      WA  -2.162817154  4.26220809  -7.82396023  5.7952162007
## 2793    1      WA  -5.985697036  8.09552548 -14.81228455  8.8434871268
## 2794    2      WA -10.526858115 11.58217314 -21.29872569 10.3296125375
## 2795    3      WA -10.572288910 12.80735313 -23.75178900 12.7353392199
## 2796    4      WA  -7.476245951  8.26921360 -15.27983313  7.4815832829
## 2797    5      WA  -5.172592821  7.67859413 -14.28398220  8.9984403287
## 2798    6      WA  -7.964831678 12.61265829 -22.84602696 15.3749412127
## 2799    7      WA  -8.117296573  9.37641914 -17.40786241  8.8012619816
## 2800    8      WA -10.250502630 12.51356429 -23.98958941 12.5842663460
## 2801    9      WA -10.519208652 12.89755999 -24.95907340 12.9353070314
## 2802   10      WA  -0.728319800  7.30762389 -12.15247677 11.2430142640
## 2803   11      WA   1.683668532  3.41176126  -4.89050698  6.9075717602
## 2804   12      WA  -0.884302456  3.29478602  -5.61492164  4.7846970863
## 2805   13      WA  -2.438185433  6.88607117 -12.09920921  9.8121671957
## 2806   14      WA  -5.153901257  6.77200746 -12.56083269  7.1904073960
## 2807   15      WA  -6.956196391  8.62803239 -16.93554033  8.9636316383
## 2808   16      WA  -6.191671796  8.79533902 -16.19747110  9.7336594593
## 2809   17      WA  -3.459072199  5.99497101 -11.00338216  7.2191097569
## 2810   18      WA   0.325655031  3.10204053  -5.36883827  5.7589796208
## 2811   19      WA   2.262631125  2.38884344  -2.55740130  5.2680706647
## 2812   20      WA  11.145917365  8.08598017  -6.24007361 20.2972205919
## 2813   21      WA  -0.201717631  1.82095962  -3.45400540  3.2021206894
## 2814   NA      WA  -4.061083383  6.50153680 -11.84264478  7.8221300411
## 2815  -44      WI            NA         NaN           NA            NA
## 2816  -43      WI            NA         NaN           NA            NA
## 2817  -42      WI            NA         NaN           NA            NA
## 2818  -41      WI            NA         NaN           NA            NA
## 2819  -40      WI            NA         NaN           NA            NA
## 2820  -39      WI            NA         NaN           NA            NA
## 2821  -38      WI            NA         NaN           NA            NA
## 2822  -37      WI            NA         NaN           NA            NA
## 2823  -36      WI            NA         NaN           NA            NA
## 2824  -35      WI            NA         NaN           NA            NA
## 2825  -34      WI            NA         NaN           NA            NA
## 2826  -33      WI            NA         NaN           NA            NA
## 2827  -32      WI            NA         NaN           NA            NA
## 2828  -31      WI            NA         NaN           NA            NA
## 2829  -30      WI   1.350813352  4.59873776  -7.05751866  8.3622605434
## 2830  -29      WI  -4.372663042  2.47440827  -7.96371193  0.7204542037
## 2831  -28      WI  -4.957780778  3.71732914  -9.54501271  3.0024982617
## 2832  -27      WI  -0.366356290  1.63004564  -3.48841495  3.1657907855
## 2833  -26      WI  -1.156355150  1.17616125  -2.89310211  1.5522572111
## 2834  -25      WI  -2.375684553  1.38710460  -4.44980703  0.5943937324
## 2835  -24      WI  -3.117185389  2.15754534  -5.83863465  1.8095618098
## 2836  -23      WI  -1.864501846  3.18650949  -6.57690271  4.5104019974
## 2837  -22      WI  -0.529445517  1.68430477  -3.51645057  2.4304311208
## 2838  -21      WI  -1.576283679  1.59316286  -3.55546730  1.5585224723
## 2839  -20      WI  -1.543514226  3.28719637  -6.24041444  4.7534230810
## 2840  -19      WI   1.092877527  3.54795356  -5.40945113  6.5492342665
## 2841  -18      WI   2.328697201  4.32679558  -5.97799324  8.5250582260
## 2842  -17      WI   0.927310661  3.25183037  -5.37575412  6.4997466431
## 2843  -16      WI   2.066923125  2.63698314  -2.93201617  5.1277124181
## 2844  -15      WI   1.566372300  1.09933659  -0.66851097  2.7835592142
## 2845  -14      WI  -0.367629423  2.61957723  -4.79048809  4.3691167911
## 2846  -13      WI  -0.331222884  1.42422819  -2.84091608  2.5098701642
## 2847  -12      WI   7.097447223  5.87532913  -6.11898086 14.2527594485
## 2848  -11      WI   5.805499237  5.21887735  -6.88621668 13.3380045352
## 2849  -10      WI  -2.987699043  3.21851058  -7.56806162  4.3249153603
## 2850   -9      WI   2.400204775  1.60077722  -0.82639320  4.4576853074
## 2851   -8      WI   1.678780855  2.91103053  -3.94941165  6.1998264308
## 2852   -7      WI   0.430786611  4.26235498  -7.11343408  8.4796175144
## 2853   -6      WI   6.376570807  4.31197825  -3.58953658 11.9184707467
## 2854   -5      WI   3.497792694  4.59923499  -5.44516729  9.7761091624
## 2855   -4      WI  -4.200662808  6.98410358 -12.70589862  8.7527728994
## 2856   -3      WI  -6.254723827 10.13683918 -18.91027933 12.6325425867
## 2857   -2      WI   3.021022842  1.75522587  -1.01363021  5.3443217227
## 2858   -1      WI  -3.639390756  5.94203802 -10.21368407  7.4213878583
## 2859    0      WI  -7.225326747  9.35258018 -16.95820443 10.0601678840
## 2860    1      WI  -3.737816938  6.31706556 -10.97342090  7.9603956910
## 2861    2      WI  -5.662913214  7.05793600 -12.43854175  7.3883164568
## 2862    3      WI -11.227692147 14.20711405 -25.98866930 14.9281404271
## 2863    4      WI -13.651514325 16.90757012 -30.11708882 17.3423381085
## 2864    5      WI  -2.325869962  3.87916944  -7.08918331  4.8377206373
## 2865    6      WI  -4.755987224  6.03013790 -12.23975862  6.9501036875
## 2866    7      WI  -5.354111685  6.25809101 -12.86299090  6.8370696115
## 2867    8      WI   1.873167398  1.80230783  -2.31527201  4.6571633709
## 2868    9      WI  -0.252310391  1.70380428  -3.35649586  3.0992118782
## 2869   10      WI  -3.936304499  4.84309642  -8.46991045  4.8593683515
## 2870   11      WI  -3.499022373  5.28771658  -9.04070021  6.3323212645
## 2871   12      WI  -0.693986776  2.74256546  -4.57962213  4.3051694198
## 2872   13      WI  -6.110933016  6.83854327 -13.54765199  7.1799881905
## 2873   14      WI  -5.640835206  7.44859862 -13.17821997  8.0698424506
## 2874   15      WI   0.102199853  1.59975710  -3.12597202  3.0897223721
## 2875   16      WI  -1.945463492  3.91248775  -6.70104772  5.3666772216
## 2876   17      WI  -3.270274130  2.33793842  -6.35129509  1.5925085797
## 2877   18      WI  -2.908308969  7.02126876 -14.96618285 11.7115857743
## 2878   19      WI  -1.835102236  2.11033579  -4.86790738  2.7648525523
## 2879   20      WI  -1.624118083  2.08614355  -5.10429614  3.2982139385
## 2880   21      WI  -1.699998280  2.94798651  -6.26709733  4.3350485623
## 2881   NA      WI  -3.881023747  5.18154972  -8.94511336  5.6150998231
## 2882  -44      WV            NA         NaN           NA            NA
## 2883  -43      WV            NA         NaN           NA            NA
## 2884  -42      WV            NA         NaN           NA            NA
## 2885  -41      WV            NA         NaN           NA            NA
## 2886  -40      WV            NA         NaN           NA            NA
## 2887  -39      WV            NA         NaN           NA            NA
## 2888  -38      WV            NA         NaN           NA            NA
## 2889  -37      WV            NA         NaN           NA            NA
## 2890  -36      WV            NA         NaN           NA            NA
## 2891  -35      WV            NA         NaN           NA            NA
## 2892  -34      WV            NA         NaN           NA            NA
## 2893  -33      WV            NA         NaN           NA            NA
## 2894  -32      WV            NA         NaN           NA            NA
## 2895  -31      WV            NA         NaN           NA            NA
## 2896  -30      WV   0.614898356  0.80590737  -1.19357397  2.0256181901
## 2897  -29      WV  -2.325785798  2.26608509  -6.28021266  2.4560849605
## 2898  -28      WV  -5.706039284  7.88968767 -14.15883543  9.2768615732
## 2899  -27      WV  -6.440178852  7.80599090 -14.29226243  8.1417098366
## 2900  -26      WV  -3.996818405  4.82658993  -9.11155591  5.1970459390
## 2901  -25      WV  -3.298227741  3.74875339  -7.52154205  3.8268694859
## 2902  -24      WV  -1.478155917  1.75152314  -3.89535323  2.1505368373
## 2903  -23      WV  -1.773648599  1.76249080  -4.19875284  1.9907922706
## 2904  -22      WV  -2.062351390  0.99729553  -3.60847385  0.1053528314
## 2905  -21      WV  -2.413857478  2.14032959  -4.96516602  1.7823894467
## 2906  -20      WV   1.963885784  3.14076717  -4.17491420  5.9543131088
## 2907  -19      WV  -2.232427337  1.60260888  -5.10096298  1.0400879955
## 2908  -18      WV  -0.298489998  1.82150003  -3.78282470  3.3472715305
## 2909  -17      WV   0.325438659  2.70153547  -5.30188677  5.5598145051
## 2910  -16      WV   4.546617332  4.43995016  -3.84216264  8.8595780335
## 2911  -15      WV  -0.869706096  0.78078452  -1.96652205  0.9073996635
## 2912  -14      WV   1.264220769  1.16722052  -1.42796617  3.1446421737
## 2913  -13      WV   2.050367241  4.73407395  -6.75261562  8.8661164564
## 2914  -12      WV   1.709462767  6.48368760 -10.31795381 12.7971072065
## 2915  -11      WV   4.814335609  8.23572788 -10.93774107 15.9543344798
## 2916  -10      WV  -1.510536434  3.23641270  -5.76067808  4.5627790030
## 2917   -9      WV   2.448993195  2.17650250  -1.92565719  5.6812512712
## 2918   -8      WV   0.759493263  0.66470155  -0.79853284  1.7839457452
## 2919   -7      WV   4.639128364  3.36788998  -2.32307013  8.6646782902
## 2920   -6      WV  11.532770949 12.45417960 -12.17199330 24.8968009962
## 2921   -5      WV   4.250343701  3.95628704  -3.80089463 10.0828249475
## 2922   -4      WV  -1.086439128  2.11456100  -4.52570489  3.3371227415
## 2923   -3      WV  -3.903688848  7.29243032 -14.80548087 10.1304242359
## 2924   -2      WV  -0.021257396  3.73556443  -6.55928855  6.6432642513
## 2925   -1      WV  -1.502347286  5.23461223  -9.61558122  8.2550963623
## 2926    0      WV  -6.732222464  9.72955503 -19.37998517 11.9008327432
## 2927    1      WV  -0.546257854  3.85571245  -7.60052517  6.6429559161
## 2928    2      WV  -2.608862156  3.48660958  -7.33199550  4.5458177016
## 2929    3      WV   2.860712619  3.42766606  -3.72040316  7.0225357093
## 2930    4      WV  -4.033180214  7.13129707 -14.62023059 10.4047254908
## 2931    5      WV   0.290216859  2.87359672  -4.72664220  4.8705256276
## 2932    6      WV  -1.660975823  4.90496913  -9.22458155  7.0959138653
## 2933    7      WV  -3.345778038  5.41081014 -11.28985309  7.2192052397
## 2934    8      WV   0.821116099  4.18987200  -7.64056407  8.7940039638
## 2935    9      WV   1.958869805  2.67889059  -3.18871329  5.3134368203
## 2936   10      WV   3.614393073  2.07818131  -1.27447455  6.3940194045
## 2937   11      WV  -1.996576799  3.42105556  -7.22266181  5.1792319337
## 2938   12      WV  -1.478075710  4.08415591  -8.13463921  6.4356563581
## 2939   13      WV  -2.769909643  5.04056214 -10.34851505  7.0301178390
## 2940   14      WV  -5.221477528  7.96635145 -15.32438792  9.8517186852
## 2941   15      WV  -0.193816655  2.43396246  -4.87485062  3.6478143822
## 2942   16      WV  -3.369422671  3.74215493  -7.51147475  3.8959410338
## 2943   17      WV   1.409892336  2.94718070  -5.26999592  6.6111967932
## 2944   18      WV  -2.232346626  4.87674675  -9.95389604  7.2094709837
## 2945   19      WV  -4.252721551  3.71807374  -9.74743304  4.4093822236
## 2946   20      WV   0.071498699  2.31188258  -3.98390052  4.0807118475
## 2947   21      WV   1.033425357  3.21967830  -4.76408393  6.0358289112
## 2948   NA      WV  -1.290068131  2.65109835  -5.93952942  4.5424098026
```

---
# PPSCM Application

Plotting the Average ATT event study:

```r
plot(sum_ppscm, levels = "Average")
```

---
# PPSCM Application

Or the event study for just CA relative to its synthetic control:

```r
plot(sum_ppscm, levels = "CA")
```

---
# PPSCM Application

Or a subset (say, OR and WA):

```r
plot(sum_ppscm, levels = c("OR", "WA"))
```

---
# PPSCM Application

Or every ATT all at once:

```r
plot(sum_ppscm)
```

---
# PPSCM Application

Looking at the weights:
  
  * `$N \times N_{tr}$` matrix (51 states + DC by 43 SAH adopters)

```r
sah_ppscm$weights
```

```
##             [,1]          [,2]          [,3]          [,4]          [,5]
## AK  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AR -1.584198e-07 -1.957248e-07 -1.784517e-07  5.358271e-02 -1.606645e-07
## AZ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DE  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## FL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## GA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## HI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IA -3.209071e-08 -1.206382e-08  4.242161e-02  2.790426e-08 -7.483020e-08
## ID  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## LA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MD  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ME  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ND -3.647051e-08 -1.661421e-07 -5.726401e-08  2.842688e-01 -3.510794e-08
## NE -5.096455e-08 -2.846363e-07 -1.110837e-07  6.621485e-01  1.922220e-01
## NH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NJ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NM  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OK -9.131559e-08  1.000001e+00  2.547774e-01  1.423027e-08 -1.483762e-07
## OR  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## PA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## RI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SD -9.114748e-08 -2.059756e-07 -1.132404e-07 -5.167000e-08 -6.120759e-08
## TN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## TX  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## UT  1.000001e+00 -7.925405e-08  7.028016e-01  5.329540e-08  8.077786e-01
## VA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## VT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WY -1.585420e-07 -1.241673e-07 -1.442130e-07  3.382380e-08 -1.170541e-07
##             [,6]          [,7]          [,8]          [,9]         [,10]
## AK  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AR -1.600864e-07 -2.729916e-07 -8.679149e-08 -1.542402e-07 -1.229416e-07
## AZ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DE  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## FL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## GA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## HI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IA -1.240058e-07 -3.905659e-08 -6.112527e-08  6.413916e-02  8.384016e-02
## ID  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## LA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MD  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ME  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ND  2.577084e-08  8.826607e-02  8.491184e-03  1.068414e-07  8.552912e-02
## NE  1.000001e+00 -7.263605e-08  7.965156e-01 -5.120088e-08 -9.063802e-08
## NH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NJ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NM  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OK -2.447411e-07 -1.293400e-07 -1.170516e-07  4.400767e-01  5.960132e-01
## OR  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## PA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## RI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SD  4.518961e-08 -8.018540e-08 -1.430481e-08 -3.701530e-08  2.559634e-08
## TN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## TX  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## UT -5.808345e-08  9.117347e-01  1.949935e-01  4.957844e-01  2.346178e-01
## VA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## VT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WY -1.378772e-07 -1.927217e-07 -7.057892e-08 -1.879336e-07 -4.455986e-08
##            [,11]        [,12]         [,13]         [,14]         [,15]
## AK  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AL  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AR  2.446764e-08 2.670661e-07  4.845900e-02  3.100294e-01 -1.366888e-07
## AZ  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CA  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CO  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CT  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DC  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DE  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## FL  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## GA  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## HI  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IA  3.402149e-01 1.458756e-07  7.121007e-08  1.466316e-01  5.814000e-01
## ID  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IL  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IN  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KS  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KY  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## LA  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MA  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MD  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ME  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MI  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MN  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MO  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MS  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MT  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NC  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ND -5.029120e-07 5.762868e-01  1.831306e-01  4.941090e-09 -1.921921e-07
## NE -2.500470e-07 1.261835e-01  7.684104e-01  5.433391e-01 -2.068261e-07
## NH  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NJ  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NM  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NV  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NY  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OH  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OK  6.597859e-01 4.164757e-07  4.888235e-08  2.570278e-08  1.497217e-01
## OR  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## PA  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## RI  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SC  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SD -2.038016e-07 1.728291e-02 -4.352798e-08 -4.548105e-08 -1.979676e-07
## TN  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## TX  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## UT -1.927644e-08 2.802453e-01 -8.436285e-09 -1.621449e-09  2.688791e-01
## VA  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## VT  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WA  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WI  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WV  0.000000e+00 0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WY  7.045668e-08 5.909219e-07 -2.769526e-09 -8.386997e-08 -5.969438e-08
##            [,16]         [,17]         [,18]         [,19]         [,20]
## AK  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AR -5.918700e-08 -8.679207e-08 -1.323604e-07 -1.309184e-07 -2.589916e-07
## AZ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DE  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## FL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## GA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## HI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IA  4.359548e-02 -6.112539e-08 -1.271386e-07  4.273993e-01  1.293098e-01
## ID  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## LA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MD  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ME  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ND  5.432364e-08  1.522199e-02  1.061880e-01 -3.546152e-08  4.898706e-02
## NE  3.534371e-01  8.032816e-01  8.938127e-01 -7.698910e-08 -1.133833e-07
## NH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NJ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NM  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OK  7.501598e-02 -1.170513e-07 -2.206209e-07  1.871605e-08 -4.262379e-08
## OR  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## PA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## RI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SD -1.799328e-08 -1.430491e-08  4.251613e-08 -9.087323e-08 -8.467246e-08
## TN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## TX  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## UT  5.279516e-01  1.814968e-01 -5.198576e-08  5.726012e-01  8.217038e-01
## VA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## VT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WY -1.124853e-07 -7.057889e-08 -1.318270e-07 -1.178043e-07 -1.821795e-07
##            [,21]         [,22]         [,23]         [,24]         [,25]
## AK  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AR -1.600867e-07 -1.200360e-07 -1.980112e-07 -1.629489e-07  1.704672e-08
## AZ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DE  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## FL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## GA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## HI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IA -1.240060e-07 -4.430519e-08 -1.058952e-08  2.109134e-01  7.061774e-02
## ID  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## LA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MD  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ME  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ND  2.576950e-08  2.710256e-01 -1.341156e-07 -1.337837e-08  4.811601e-01
## NE  1.000001e+00  1.477155e-01 -2.575170e-07 -1.422999e-07  2.932196e-08
## NH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NJ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NM  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OK -2.447413e-07 -1.113284e-07  1.000001e+00  7.890872e-01  2.018420e-08
## OR  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## PA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## RI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SD  4.518785e-08 -2.225658e-08 -1.727158e-07 -1.234824e-07  8.279799e-02
## TN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## TX  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## UT -5.808408e-08  5.812594e-01 -6.598612e-08 -5.153047e-08  3.654242e-01
## VA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## VT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WY -1.378773e-07 -1.341410e-07 -1.111610e-07 -1.722829e-07 -8.604202e-08
##            [,26]         [,27]         [,28]         [,29]         [,30]
## AK  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AR -1.462298e-07 -1.159468e-07 -2.494056e-07  3.241074e-01 -1.753556e-07
## AZ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DE  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## FL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## GA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## HI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IA  5.359564e-01 -4.344043e-08 -1.842789e-07 -2.839596e-08  1.175969e-01
## ID  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## LA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MD  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ME  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ND -4.821618e-08  3.964582e-01  2.405641e-01 -4.044228e-08 -2.682097e-08
## NE -9.561665e-08  7.236967e-09  7.594369e-01  6.123344e-02 -8.372568e-08
## NH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NJ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NM  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OK  2.372813e-01 -1.092235e-07 -2.964184e-07 -2.704677e-08  2.317468e-09
## OR  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## PA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## RI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SD -1.057917e-07 -1.914740e-08  3.033501e-08  5.203645e-09 -9.402951e-08
## TN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## TX  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## UT  2.267628e-01  6.035422e-01 -1.291294e-07  6.146593e-01  8.824036e-01
## VA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## VT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WY -1.176400e-07 -1.338119e-07 -1.742483e-07 -5.240314e-08 -1.560192e-07
##            [,31]         [,32]         [,33]         [,34]         [,35]
## AK  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AR -1.458973e-07  7.887877e-02  2.900162e-01 -2.383175e-07 -1.200355e-07
## AZ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DE  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## FL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## GA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## HI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IA -1.387246e-07 -2.716951e-08  6.239446e-08  2.943569e-01 -4.430531e-08
## ID  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## LA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MD  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ME  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ND  8.025542e-02 -3.981698e-08  1.356359e-01 -2.306933e-08  1.263936e-01
## NE  9.197454e-01  9.211214e-01  5.743480e-01 -1.413247e-07  1.366353e-01
## NH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NJ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NM  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OK -2.844210e-07 -2.470567e-08 -1.314534e-08  3.206601e-09 -1.113286e-07
## OR  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## PA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## RI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SD  2.237278e-08  5.482489e-09 -4.347947e-08 -1.130594e-07 -2.225618e-08
## TN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## TX  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## UT -1.274218e-07  5.308440e-09 -3.931991e-08  7.056437e-01  7.369715e-01
## VA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## VT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WY -1.604676e-07 -5.166351e-08 -5.037888e-08 -1.677602e-07 -1.341412e-07
##            [,36]         [,37]         [,38]         [,39]         [,40]
## AK  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## AR -1.452861e-07 -1.784517e-07 -2.410069e-07 -1.630471e-07 -2.225763e-07
## AZ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## CT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## DE  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## FL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## GA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## HI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IA -3.085330e-08  2.797141e-01  3.171507e-02  3.734800e-01 -6.760000e-08
## ID  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IL  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## IN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## KY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## LA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MD  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ME  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MO  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MS  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## MT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## ND -1.369634e-07 -5.726411e-08  5.064151e-09 -2.996429e-08  2.659394e-01
## NE -2.531818e-07 -1.110829e-07 -1.196129e-07 -8.500910e-08  2.743638e-01
## NH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NJ  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NM  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## NY  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OH  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## OK  1.000001e+00  4.184271e-01  6.103921e-01 -1.584176e-08 -1.920015e-07
## OR  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## PA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## RI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SC  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## SD -1.634103e-07 -1.132406e-07 -9.820014e-08 -1.191012e-07 -6.788191e-08
## TN  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## TX  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## UT -6.088406e-08  3.018595e-01  3.578934e-01  6.265206e-01  4.596975e-01
## VA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## VT  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WA  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WI  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WV  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
## WY -8.656862e-08 -1.442136e-07 -1.811787e-07 -1.503660e-07 -1.310198e-07
##            [,41]         [,42]         [,43]
## AK  0.000000e+00  0.000000e+00  0.000000e+00
## AL  0.000000e+00  0.000000e+00  0.000000e+00
## AR -1.458955e-07  1.067699e-08  1.842831e-01
## AZ  0.000000e+00  0.000000e+00  0.000000e+00
## CA  0.000000e+00  0.000000e+00  0.000000e+00
## CO  0.000000e+00  0.000000e+00  0.000000e+00
## CT  0.000000e+00  0.000000e+00  0.000000e+00
## DC  0.000000e+00  0.000000e+00  0.000000e+00
## DE  0.000000e+00  0.000000e+00  0.000000e+00
## FL  0.000000e+00  0.000000e+00  0.000000e+00
## GA  0.000000e+00  0.000000e+00  0.000000e+00
## HI  0.000000e+00  0.000000e+00  0.000000e+00
## IA -1.387237e-07  5.021374e-02  3.306475e-01
## ID  0.000000e+00  0.000000e+00  0.000000e+00
## IL  0.000000e+00  0.000000e+00  0.000000e+00
## IN  0.000000e+00  0.000000e+00  0.000000e+00
## KS  0.000000e+00  0.000000e+00  0.000000e+00
## KY  0.000000e+00  0.000000e+00  0.000000e+00
## LA  0.000000e+00  0.000000e+00  0.000000e+00
## MA  0.000000e+00  0.000000e+00  0.000000e+00
## MD  0.000000e+00  0.000000e+00  0.000000e+00
## ME  0.000000e+00  0.000000e+00  0.000000e+00
## MI  0.000000e+00  0.000000e+00  0.000000e+00
## MN  0.000000e+00  0.000000e+00  0.000000e+00
## MO  0.000000e+00  0.000000e+00  0.000000e+00
## MS  0.000000e+00  0.000000e+00  0.000000e+00
## MT  0.000000e+00  0.000000e+00  0.000000e+00
## NC  0.000000e+00  0.000000e+00  0.000000e+00
## ND  4.650597e-01  8.921020e-02  5.721125e-09
## NE  5.349412e-01  6.755316e-01  1.371596e-01
## NH  0.000000e+00  0.000000e+00  0.000000e+00
## NJ  0.000000e+00  0.000000e+00  0.000000e+00
## NM  0.000000e+00  0.000000e+00  0.000000e+00
## NV  0.000000e+00  0.000000e+00  0.000000e+00
## NY  0.000000e+00  0.000000e+00  0.000000e+00
## OH  0.000000e+00  0.000000e+00  0.000000e+00
## OK -2.844193e-07  1.582439e-08  2.637696e-08
## OR  0.000000e+00  0.000000e+00  0.000000e+00
## PA  0.000000e+00  0.000000e+00  0.000000e+00
## RI  0.000000e+00  0.000000e+00  0.000000e+00
## SC  0.000000e+00  0.000000e+00  0.000000e+00
## SD  2.237306e-08 -4.545136e-08 -4.485003e-08
## TN  0.000000e+00  0.000000e+00  0.000000e+00
## TX  0.000000e+00  0.000000e+00  0.000000e+00
## UT -1.274214e-07  1.850445e-01  3.479099e-01
## VA  0.000000e+00  0.000000e+00  0.000000e+00
## VT  0.000000e+00  0.000000e+00  0.000000e+00
## WA  0.000000e+00  0.000000e+00  0.000000e+00
## WI  0.000000e+00  0.000000e+00  0.000000e+00
## WV  0.000000e+00  0.000000e+00  0.000000e+00
## WY -1.604668e-07 -7.759783e-08 -8.390047e-08
```

---
# PPSCM Application

What is CA (first adopter)'s synthetic control?

```r
ca_wts <- sah_ppscm$weights %>%
  as.data.frame() %>%
  select(V1)

ca_wts <- mutate(ca_wts, state = rownames(ca_wts)) %>%
  rename(weight = V1) %>%
  filter(weight != 0)
ca_wts
```

```
##           weight state
## AR -1.584198e-07    AR
## IA -3.209071e-08    IA
## ND -3.647051e-08    ND
## NE -5.096455e-08    NE
## OK -9.131559e-08    OK
## SD -9.114748e-08    SD
## UT  1.000001e+00    UT
## WY -1.585420e-07    WY
```

```r
filter(sah, state %in% c("CA", "AR", "IA", "ND", "NE", "OK", "SD", "UT", "WY")) %>%
  left_join(ca_wts, by = "state") %>%
  mutate(state_ca = ifelse(state == "CA", "CA", "Synthetic Control"),
         weight = ifelse(state == "CA", 1, weight)) %>%
  group_by(state_ca, date) %>%
  summarise(cadt_group = mean(cadt*weight, na.rm = T),
    weight = weight) %>%
  filter(date <= mdy("3-19-2020")) %>%
  ggplot() +
  geom_line(aes(x=date, y = cadt_group, linetype = state_ca))
```

---
# PPSCM Application

Looking at `$\nu$`, we see we're about halfway between separate and pooled SCM:

```r
sah_ppscm$nu
```

```
## [1] 0.4902127
```

---
# PPSCM Application

By default, the regularization penalty and number of factors for interactive fixed effect is zero. What happens if we turn them on?

.font70[

```r
sah_ppscm2 <- multisynth(cadt ~ post_treat, state, date,  data = sah, fixedeff = TRUE, 
                         lambda = 0.5,
                         n_factors = 2) 
sum_ppscm2 <- summary(sah_ppscm2)
plot(sum_ppscm2, levels = "Average")
```

<img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-30-1.png" width="60%" style="display: block; margin: auto;" />
]

---
# PPSCM Application

We can also add covariates for
  * .hi-blue[Weighting:] covariates to weight on
  * .hi-medgrn[Approx. Matching:] covariates to approximately match on *before* weighting
  * .hi-purple[Exact Matching:] covariates to exactly match on *before* weighting

Let's weight on average pre-period values of a few covariates:

```r
sah_ppscm3 <- multisynth(cadt ~ post_treat | pct_wfh + pct_pub_trans + pct_retail + pct_ent_fd + poppm2019 + share_dem, state, date, 
                         data = sah, fixedeff = TRUE, 
                         lambda = 0.5,
                         n_factors = 2) 
sum_ppscm3 <- summary(sah_ppscm3)
```

---
# PPSCM Application

Looking at balance under this specification:

```r
plot(sum_ppscm3, levels = "Average")
```

---
# PPSCM Application

Alternatively, we can approximately match on population and democratic vote share in 2016 election using 3 nearest neighbors:

```r
sah_ppscm4 <- multisynth(cadt ~ post_treat | pct_wfh + pct_pub_trans + pct_retail + pct_ent_fd| poppm2019 + share_dem, state, date, 
                         data = sah, fixedeff = TRUE, 
                         lambda = 0.5,
                         n_factors = 2,
                         k = 3) 
sum_ppscm4 <- summary(sah_ppscm4)
```

---
# PPSCM Application

Plotting the new Average ATTs manually with ggplot():

.font80[
<img src="data:image/png;base64,#09-Synthetic-Pt2_files/figure-html/unnamed-chunk-34-1.png" width="70%" style="display: block; margin: auto;" />
]

---
# PPSCM Application

Comparing to the standard event study from last lecture:

---

# Table of Contents

1. [Prologue](#prologue)

2. [Synthetic Difference-in-Difference](#synthdid)

3. [Partially Pooled SCM](#pool)